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Potential theoretic research on elliptic differential equations

Research Project

Project/Area Number 09440062
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field 解析学
Research InstitutionShimane University

Principal Investigator

AIKAWA H.  Shimane Univ., Dept.of Math.Professor, 総合理工学部, 教授 (20137889)

Co-Investigator(Kenkyū-buntansha) MURATA M.  Tokyo Inst.Tech.Dept.of Math.Professor, 理学部, 教授 (50087079)
MIZUTA M.  Hiroshima Univ., Dept.of Math.Professor, 総合科学部, 教授 (00093815)
SUGIE J.  Shimane Univ., Dept.of Math.Professor, 総合理工学部, 教授 (40196720)
FURUMOCHI T.  Shimane Univ., Dept.of Math.Professor, 総合理工学部, 教授 (40039128)
YAMASAKI M.  Shimane Univ., Dept.of Math.Professor, 総合理工学部, 教授 (70032935)
Project Period (FY) 1997 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥6,500,000 (Direct Cost: ¥6,500,000)
Fiscal Year 1998: ¥2,800,000 (Direct Cost: ¥2,800,000)
Fiscal Year 1997: ¥3,700,000 (Direct Cost: ¥3,700,000)
Keywordspotential / harmonic / superharmonic / integrability / coarea fomula / capacity / fine topology / extremal length / パーターベーション / マルチン境界 / キャパシティ
Research Abstract

The research results of the main investigator are mainly stated.
Precise properties of solutions to an elliptic differential equation is given by the Green function and the Green operator, We have studied the following :
(i) Estimate of the norm of the Green operator.
(ii) Green function under perturbation.
(iii) Integrability of positive superharmonic functions by perturbation.
(iv) Study of perturbation by coarea formula.
The well-known notion of extremal length has been generalized. The reciprocal relationship between the extremal distance connecting two sets and the extremal width separating them has been established. Moreover, extremal length is extended to vector measures and the relationship to capacity with respect to a degenerate elliptic equation is given. This is a joint work with Prof. M.Ohtsuka.
The generalized Cranston-McConnell inequality for a discontinuous superharmonic function is proved with the aid [of fine topology. This is an extension of the result of the investigator in J.Analyse Math. (1996).
Fine topology, cluster sets, boundary values, boundary Harnack principle and the Martin boundary have been studied with M.Mizutani and S.Gardiner. Papers about them are submitted.

Report

(3 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • Research Products

    (116 results)

All Other

All Publications (116 results)

  • [Publications] H.Aikawa: "Capacity and Hausdorff content of certain enlarged sets" Mem.Fac.Sci.Eng.Shimane Univ., Series B : Mathematical Science. 30. 1-21 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Aikawa: "Densities with the mean value property for harmonic functions in a Lipschitz domain" Proc.Amer.Math.Soc.125. 229-234 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Aikawa: "Semibounded perturbation of Green function in an NTA domain" Mem.Fac.Sci.Eng.Shimane Univ., Series B : Mathematical Science. 31. 1-7 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Aikawa: "Generalized Cranston-McConnell inequalities for discontinuous superharmonic functions" Potential Analysis. 8. 127-135 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Aikawa: "Norm estimate of Green operator, perturbation of Green function and integrability of superharmonic functions" Math.Ann.312. 289-318 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Aikawa: "Integrability of superharmonic functions in a John domain" Proc.Amer.Math.Soc.to appear. (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Aikawa and M.Ohtsuka: "Extremal length of vector measures" Ann.Acad.Sci.Fenn.Ser.A.I.Mathematica. to appear.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 山崎稀嗣: "Finite Hilbert networks" RIMS Kokyuroku. 1015. 38-49 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 村上温, 山崎稀嗣: "An introduction of Kuramochi boundary of an infinite network" Mem.Fac.Sci.Shimane Univ.Ser.B : Mathematical Science. 30. 57-89 (1977)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 村上温, 山崎稀嗣: "無限ネットワークの非線形倉持境界" RIMS Kokyuroku. 1016. 85-93 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 山崎稀嗣: "Extremum problems on a Hilbert network" Mem.Fac.Sci.Shimane Univ.Ser.B : Mathematical Science. 31. 57-71 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 村上温, 山崎稀嗣: "Discrete Kuramochi function" Proc.3rd.Intern. Conference on Difference Equation and Applications. to appear. (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 生源寺亨浩, 山崎稀嗣: "Hardy's inequality on finite networks" Mem.Fac.Sci.Shimane Univ.Ser.B : Mathematical Science. 32 to appear. (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Furumochi: "Almost periodic solutions of integral equations" Nonlinear Analysis. 30. 845-852 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Burton and T.Furumochi: "Periodic solutions of a neutral integro-differential equation" Funkcialaj Ekvacioj. 41. 327-336 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Jitsuro Sugie: "Two-parameter bifurcation in a predator-prey system of Ivlev type" Journal of Mathematical Analysis and Applications. 217. 349-371 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Jitsuro Sugie: "On global asymptotic stability of systems of Lienard type" Journal of Mathematical Analysis and Applications. 219. 140-164 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Jitsuro Sugie: "Global asymptotic stability of a predator-prey system of Holling type" Nonlinear Analysis. 掲載決定済み.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Jitsuro Sugie: "Uniqueness of limit cycles in a predot-prey system with Holling-type functional response" Quarterly of Applied Mathematics. 掲載決定済み.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Tadayuki Hara: "Exponential asymptoic stability in linear delay-differential equations with variable coefficients" Differential and Integral Equations. 11. 263-278 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Tetsuo Furumochi: "Periodic solutions of a neutral integro-differential equation" Funkcialaj Ekvacioj. 41. 327-336 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Kato: "Nonlinear nonlocal differential equations related to muscle contraction mechanism" Nonlinear Anal.TMA. 30-6. 3909-3915 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Kato: "Local existence for a general model of size-dependent population dynamics" Abstract Appl.Anal.2Nos.3-4. 207-226 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Kato: "Linearized stability and asymptotic properties for abstract boundary value functional evolution problems" Dynamical Systems and Differential Equations (W.Chen and S.Hu, eds.), Southwest Missouri State Univ.I. 371-387 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Kato: "Nonlinear nonlocal hyperbolic equations arising in physiology" Adv.Math.Sci.Appl.to appear.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Kato: "Nonlinear nonlocal transport-diffusion equations arising in physiology" Nihonkai Math.J.to appear.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hatano: "Is a net measure an outer measure?" Mem.Fac.Sci.Eng.Shimane Univ.Series B : Math.Sci.31. 9-10 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Murata: "Semismall perturbations in the Martin theory for elliptic equations" Israel J.Math.102. 29-60 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Ishige and M.Murata: "An intrinsic metric approach to uniqueness of the positive Cauchy problem for parabolic equations" Math.Z.227. 313-335 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Murata: "Structure of positive solutions to Schrodinger equations" Sugaku Expositions. 11. 101-121 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 相川弘明(編集): "ポテンシャル論とその関連分野(数理解析研究所講究録1016)" 京都大学数理解析研究所, 171 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 倉田和弘, 村田 實: "偏微分方程式1(岩波講座 現代数学の基礎)" 岩波書店, 258 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Aikawa: "Capacity and Hausdorff content of certain enlarged sets." Mem.Fac.Sci.Eng.Shimane Univ., Series B : Mathematical Science. 30. 1-21 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Aikawa: "Densities with the mean value property for harmonic functions in a Lipschitz domain" Proc.Amer.Math.Soc.125. 9 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Aikawa: "Semibounded perturbation of Green function in an NTA domain" Mem.Fac.Sci.Eng.Shimane Univ.Series B : Mathematical Science. 31. 1-7 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Aikawa: "Generalized Cranston-McConnell inequalities for discontinuous superharmonic functions" Potential Analysis. 8. 127-135 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Aikawa: "Norm estimate of Green poerator, perturbation of Green function and integrabiligy of superharmonic functions" Math.Ann.312. 289-318 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Aikawa: "Integrability of superharmonic functons in a John domain" Proc.Amer.Math.Soc.(to appear). (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Aikawa and M.Ohtsuka: "Extremal length of vector measures" Ann.Acad.Sci.Fenn.Ser.A.I.Mathematica. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Yamasaki: "Finite Hilbert networks" RIMS Kokyuroku. 1015. 38-49 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] A.Murakami and M.Yamasaki: "An introduction of Kuramochi boundary of an infinite network" Mem.Fac.Sci.Shimane Univ.Ser.B : Mathematical Science. 30. 57-89 (1977)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] A.Murakami and M.Yamasaki: "Nonlinear Kuramochi boundary of an infinite network (japanese)" RIMS Kokyuroku. 1016. 85-93 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Yamasaki: "Extremum problems on a Hilbert network" Mem.Fac.Sci.Shimane Univ.Ser.B : Mathematical Science. 31. 57-71 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] A.Murakami and M.Yamasaki: "Discrete Kuramochi function" Proc.3rd.Intern.Conference on Difference Equation and Applications. (to appear). (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Y.Shogenji and M.Yamasaki: "Hardy's inequality on finite networks" Mem.Fac.Sci.Shimane Univ.Ser.B : Mathematical Science. 32 (to appear). (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Furumochi: "Almost periodic solutions of integral equations" Nonlinear Analysis. 30. 845-852 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] T.Burton and T.Furumochi: "Periodic solutions of a neutral integro-differential equation" Funkcialaj Ekvacioj. 41. 327-336 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Jitsuro Sugie: "Two-parameter bifurcation in a predator-prey system of Ivlev type" Journal of Mathematical Analysis and Applications. 217. 349-371 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Jitsuro Sugie: "On global asymptotic stability of systems of Lienard type" Journal of Mathematical Analysis and Applications. 219. 140-164 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Jitsuro Sugie: "Global asymptotic stability of a predator-prey system of Holling type" Nonlinear Analysis. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Jigsuro Sugie: "Uniqueness of limit cycles in a predot-prey system with Holling-type functional response" Quarterly of Applied Mathematics. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Tadayuki Hara: "Exponential asymptoic stability in linear delay-differential equations with vari-able coefficients." Differential and Integral Equat ions. 11. 263-278 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Tetsuo Furumochi: "Periodic solutions of a neutral integro-differential equation" Funkcialaj Ekvacioj. 41. 327-336 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Tetsuo Furumochi: "Periodic solutions of a neutral integro-differential equation" Funkcialaj Ekvacioj. 41. 327-336 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Kato: "Nonlinear nonlocal differential equations related to muscle contraction mechanism" Nonlinear Anal.TMA. 30-6. 3909-3915 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Kato: "Local existence for a general model of size-dependent population dynamics" Abstract Appl.Anal.2 Nos.3-4. 207-226 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Kato: "Linearized stability and asymptotic properties for abstract boundary value functional evolution problems." Dynamical Systems and Differential Equations (W.Chen and S.Hu, eds.), Southwest Missouri State Univ.I. 371-387 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Kato: "Nonlinear nonlocal hyperbolic equations arising in physiology" Adv.Math.Sci.Appl.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] N.Kato: "Nonlinear nonlocal transport-diffusion equations arising in physiology" Nihonkai Math.J.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Hatano: "Is a net measure an outer measure?" Mem.Fac.Sci.Eng.Shimane.Univ.Series B : Math.Sci.31. 9-10 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Murata: "Semismall perturbations in the Martin theory for elliptic equations" Israel J.Math.102. 29-60 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Ishige and M.Murata: "An intrinsic metric approach to uniqueness of the positive Cauchy problem for parabolic equations" Math.Z.102. 29-60 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] M.Murata: "Structure of positive solutions to Schrodinger equations" Sugaku Expositions. 11. 101-121 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Aikawa (ed.): Potential Theory and its Related Fields (RIMS Kokyuroku 1016). Research Institute of Mathematical Science Kyoto University, 171 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Kurata and M.Murata: Partial Differential Equations 1 (Iwanami Koza Foundation of Modern Mathematics). Iwanami Shoten, 258 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Aikawa: "Capacity and Hausdorff content of certain enlarged sets" Mem.fac.Sci.Eng.Shimane Univ.,Series B : Mathematical Science. 30. 1-21 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Aikawa: "Densities with the mean value property for harmonic functions in a Lipschitz domain" Proc.Amer.Math.Soc.125. 229-234 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Aikawa: "Semibounded perturbation of Green function in an NTA domain" Mem.Fac.Sci.Eng.Shimane Univ.,Series B : Mathematical Science. 31. 1-7 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Aikawa: "Generalized Cranston-McConnell inequalities for discontinuous superharmonic functions" Potential Analysis. 8. 127-135 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Aikawa: "Norm estimate of Green operator, perturbation of Green function and integrability of superharmonic functions" Math.Ann.312. 289-318 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Aikawa: "Integrability of superharmonic functions in a John domain" Proc.Amer.Math.Soc.(to appear). (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Aikawa and M.Ohtsuka: "Extremal length of vector measures" Ann.Acad.Sci.Fenn.Ser.A.I.Mathematica. (to appear).

    • Related Report
      1998 Annual Research Report
  • [Publications] 山崎稀嗣: "Finite Hilbert networks" RIMS Kokyuroku. 1015. 38-49 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] 村上温, 山崎稀嗣: "An introduction of Kuramochi boundary of an infinite network" Mem.Fac.Sci.Shimane Univ.Ser.B : Mathematical Science. 30. 57-89 (1977)

    • Related Report
      1998 Annual Research Report
  • [Publications] 村上温, 山崎稀嗣: "無限ネットワークの非線形倉持境界" RIMS Kokyuroku. 1016. 85-93 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] 山崎稀嗣: "Extremum problems on a Hilbert network" Mem.Fac.Sci.Shimane Univ.Ser.B : Mathematical Science. 31. 57-71 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 村上温, 山崎稀嗣: "Discrete Kuramochi function" Proc.3rd.Intern. Conference on Difference Equation and Applications. (to appear). (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 生源寺亨浩, 山崎稀嗣: "Hardy's inequality on finite networks" Mem.Fac.Sci.Shimane Univ.Ser.B : Mathematical Science. 32(to appear). (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Furumochi: "Almost periodic solutions of integral equations" Nonlinear Analysis. 30. 845-852 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Burton and T.Furumochi: "Periodic solutions of a neutral integro-differential equation" Funkcialaj Ekvacioj. 41. 327-336 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Jitsuro Sugie: "Two-parameter bifurcation in a predator-prey system of Ivlev type" Journal of Mathematical Analysys and Applications. 217. 349-371 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Jitsuro Sugie: "On global asymptotic stability of systems of Lienard type" Journal of Mathematical Analysis and Applications. 219. 140-164 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Jitsuro Sugie: "Global asymptotic stability of a predator-prey system of Holling type" Nonlinear Analysis. (掲載決定済み).

    • Related Report
      1998 Annual Research Report
  • [Publications] Jitsuro Sugie: "Uniqueness of limit cycles in a predot-prey system with Holling-type functional response" Quarterly of Applied Mathematics. (掲載決定済み).

    • Related Report
      1998 Annual Research Report
  • [Publications] Tadayuki Hara: "Exponential asymptoic stability in linear delay-differential equations with variable coefficients" Differential and Integral Equations. 11. 263-278 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Tetsuo Furumochi: "Periodic solutions of a neutral integro-differential equation" Funkcialaj Ekvacioj. 41. 327-336 (1998)

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      1998 Annual Research Report
  • [Publications] N.Kato: "Nonlinear nonlocal differential equations related to muscle contraction mechanism" Nonlinear Anal.TMA. 30-6. 3909-3915 (1997)

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      1998 Annual Research Report
  • [Publications] N.Kato: "Local existence for a general model of size-dependent population dynamics" Abstract Appl.Anal.2 Nos.3-4. 207-226 (1997)

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  • [Publications] N.Kato: "Linearized stability and asymptotic properties for abstract boundary value functional evolution problems" Dynamical Systems and Differential Equations (W.Chen and S.Hu,eds.), Southwest Missouri State Univ.I. 371-387 (1998)

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  • [Publications] N.Kato: "Nonlinear nonlocal hyperbolic equations arising in physiology" Adv.Math.Sci.Appl.(to appear).

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      1998 Annual Research Report
  • [Publications] N.Kato: "Nonlinear nonlocal transport-diffusion equations arising in physiology" Nihonkai Math.J.(to appear).

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  • [Publications] K.Hatano: "Is a net measure an outer measure ?" Mem.Fac.Sci.Eng.Shimane Univ.Series B : Math.Sci.31. 9-10 (1998)

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  • [Publications] M.Murata: "Semismall perturbations in the Martin theory for elliptic equations" Israel J.Math.102. 29-60 (1997)

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  • [Publications] K.Ishige and M.Murata: "An intrinsic metric approach to uniqueness of the positive Cauchy problem for parabolic equations" Math.Z.227. 313-335 (1998)

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      1998 Annual Research Report
  • [Publications] M.Murata: "Structure of positive solutions to Schrodinger equations" Sugaku Expositions. 11. 101-121 (1998)

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      1998 Annual Research Report
  • [Publications] 相川弘明 (編集): "ポテンシャル論とその関連分野(数理解析研究所講究録 1016)" 京都大学数理解析研究所, 171 (1997)

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  • [Publications] 倉田和弘, 村田實: "偏微分方程式1(岩波講座 現代数学の基礎)" 岩波書店, 258 (1997)

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  • [Publications] H.Aikawa: "Semiboundecl perturbation of Green function in an NTAdomain" Mem.Fac.Sci.Eng.Shimare Univ.Series B. 31. 1-7 (1998)

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  • [Publications] H.Aikawa, M.Ohtsuka: "Extremal length of vector measures" Ann.Acad.Sci.Fenn.Ser.A.I.23(to appear). (1998)

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  • [Publications] J.Sugie: "Two-paramcter bifurcation in predator-prey system of Ivlev type" J.Math.Anal.Appl.217. 349-371 (1998)

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  • [Publications] R.Kohyo, R.Miyazaki, J.Sugie: "On a predator-prey system of Holling type" Proc.Amer.Math.Soc.125. 2041-2050 (1997)

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  • [Publications] T.Hara, J.Sugie: "Osillatory solutions and retatory solutions for periodicully forced Lienard system" J.Diff,Integ.Eg.10. 717-738 (1997)

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  • [Publications] T.Furumochi: "Almost periodic solutions of integral eauatious" Non linear Anal.30. 845-852 (1997)

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  • [Publications] T.A.Burton, T.Furumochi: "Periodic solutions of a newtral integro-differential equation" Funkcialaj Ekvacioj. (to appear).

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  • [Publications] N.Kato, T.Yamaguchi: "Nonlinear nonlocol equations related to muscle contraction" Non linear Anal.TMA. 30. 3909-3915 (1997)

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  • [Publications] N.Kato, H.Torikata: "Local existence for a general model of size-dependent population by namics" Abstract Appl.Anal.(to appear).

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  • [Publications] M.Murata: "Semismull perturbations in the Martin theory for elliptic equations" Israel J.Math.102. 29-60 (1997)

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  • [Publications] K.Ishige, M.Murata: "An intrinsic metric approach to uriqueness of the positive Caicchy problem for parabolic eauations" Math.Z.(to appear).

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  • [Publications] Y.Mizuta: "Integrel representations,differentiability properties and limuts at infinity for Bepgc Levi functions" Potential Analysis. 6. 237-276 (1997)

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  • [Publications] Y.Mizuta: "An integral representation and five limits at infinity for functions whose Laplacians iterated in times are measures" Hiroshima.Math.J.27. 415-427 (1997)

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  • [Publications] K.Hatano: "Is a net measccre an outei measure?" Mem.Fac.Sci.Eng.Shimane Univ,Series B. 31. 9-10 (1998)

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  • [Publications] M.Yamasaki: "Extemum problems on a Hilbert network" Mem.Fac.Sci.Eng.Shimane Univ,Series B. 31. 57-72 (1998)

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  • [Publications] 村上温,山崎稀嗣: "無限ネットワークの非線形倉持境界" 数理解析研究所講究録. 1016. 85-93 (1997)

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  • [Publications] 石毛和弘・村田實: "Parabolic equations whose nonnegatire solutions in a cylinder are determined only by their initial values" 数理解析研究所講究録. 1016. 1-7 (1997)

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  • [Publications] 相川弘明(編集): "ポテンシャル論とその関連分野,数理解析研究所講究録1016" 京都大学 数理解析研究所, 171 (1997)

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  • [Publications] 倉田和浩・村田實: "偏微分方程式1" 岩波書店, (1997)

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Published: 1997-04-01   Modified: 2016-04-21  

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