1995 Fiscal Year Annual Research Report

放物型関数微分方程式の研究

Research Project

Project/Area Number	07640267
Research Institution	Okayama University of Science
Principal Investigator	村上悟岡山理科大学, 理学部, 教授 (40123963)
Co-Investigator(Kenkyū-buntansha)	橋爪道彦岡山理科大学, 理学部, 教授 (50033890) 中岡稔岡山理科大学, 理学部, 教授 (70028075) 吉田憲一岡山理科大学, 理学部, 教授 (60028264) 春木茂岡山理科大学, 理学部, 教授 (60140480) 永田雅宜岡山理科大学, 理学部, 教授 (00025230)
Keywords	関数微分方程式 / 時間遅れをもつ方程式 / 拡散項
Research Abstract	研究代表者を中心に,学内における3名の研究分担者と8名の研究協力者が課題名の研究を行った結果,以下の述べる研究実績(学術論文12編)を得た. 1.村上は拡散項をもつ関数微分方程式を中心に研究し,解の安定性と周期解の存在に関する結果を得た.また,ある積分微分方程式の漸近挙動について,いくつかの結果を得た.さらに,ボルテラ差分方程式系に対し解の指数漸近安定性と一様漸近安定性に関して特性方程式の根の分布による特徴づけを行った.2.永田は,Aがnormal affine ringで,LがQ(A)の部分体であるとき,A∩Lの形で得られる環の特徴づけを行った.3.吉田は,可換環の単純拡大における平坦性の判定法の一つを与えた.さらに,その生成元の逆元を付け加えた拡大環との関係を調べた.4.兵藤は,飽和型直交配列から導かれる24-runの2^5型直交計画の分類と分解能Vの均衡型一部実施γ^m×5^n要因計画の分散分析に関する研究を行った.

Research Products
(12 results)

All Other

All Publications (12 results)

[Publications] Masanori Nagata: "On Zariski's problem concering the 14 th Problem of Hilbert" Osaka J. Math.(掲載確定).
[Publications] Junroh Sato: "On excellent elements of anti-integral extensims" Math. J. Toyama Univ.18. 163-168 (1995)
[Publications] Susumu Oda: "Remarks on an exclusive extinsian ginerated by a super-primitive element" Osaka J. Math.32. 495-499 (1995)
[Publications] Mituo Kanemitu: "Some properties of extensims R[α, α-1]over Noetherian domains R" Communication in Algebra. 23. 4501-4507 (1995)
[Publications] S.Yamamoto: "classification of or thogonal 24-rum 2^5 factorial designs derivable from saturated two-symbol orthogmal arrays of strength 2, sye 24 and index 6" SUT Journal of Math.31. 39-53 (1995)
[Publications] M. kuwada: "Analysis of variance of balanced fractimal γ^m×S^n practional designs of resalutim V" J. Japan Statistical Society. 25. 129-141 (1995)
[Publications] Satoru Murakami: "Asymptotic behavior in a class of integrodifferential eguations mith diffusim" Methods & Applications of Analysis. 2. 248-255 (1995)
[Publications] Satoru Murakami: "Global attractivity in an integrodifferential egustim mith diffusion" bifferential Egustiuns & bynamical Syotems. 3. 35-42 (1995)
[Publications] Satoru Murakami: "Stable egwlibrium paint of aum diffuime functional differential eguations" J. Nanlinear Anal. T. M. A.25. 1037-1043 (1995)
[Publications] Yoshiyuki Hino: "Stability properties in an abatract linear functional differcntial eguatiaons with infiuth delay" Dynamical Syotems and Appl, WSSIAA. 4. 329-341 (1995)
[Publications] Satoru Murakami: "Periodic Sobutians of sume punctional diffctional differential eyuatims mith diffusion" Funkcial. Ekvac.(掲載確定).
[Publications] Saber Elaydi: "Asymptotic stability versus expumential stability in linear Volterra difference eguatims of cayvolution type" J. Difference Eguations & Appl.(掲載確定).

1995 Fiscal Year Annual Research Report

放物型関数微分方程式の研究

Principal Investigator

村上 悟 岡山理科大学, 理学部, 教授 (40123963)

Research Products

[Publications] Masanori Nagata: "On Zariski's problem concering the 14 th Problem of Hilbert" Osaka J. Math.(掲載確定).

[Publications] Junroh Sato: "On excellent elements of anti-integral extensims" Math. J. Toyama Univ.18. 163-168 (1995)

[Publications] Susumu Oda: "Remarks on an exclusive extinsian ginerated by a super-primitive element" Osaka J. Math.32. 495-499 (1995)

[Publications] Mituo Kanemitu: "Some properties of extensims R[α, α-1]over Noetherian domains R" Communication in Algebra. 23. 4501-4507 (1995)

[Publications] S.Yamamoto: "classification of or thogonal 24-rum 2^5 factorial designs derivable from saturated two-symbol orthogmal arrays of strength 2, sye 24 and index 6" SUT Journal of Math.31. 39-53 (1995)

[Publications] M. kuwada: "Analysis of variance of balanced fractimal γ^m×S^n practional designs of resalutim V" J. Japan Statistical Society. 25. 129-141 (1995)

[Publications] Satoru Murakami: "Asymptotic behavior in a class of integrodifferential eguations mith diffusim" Methods & Applications of Analysis. 2. 248-255 (1995)

[Publications] Satoru Murakami: "Global attractivity in an integrodifferential egustim mith diffusion" bifferential Egustiuns & bynamical Syotems. 3. 35-42 (1995)

[Publications] Satoru Murakami: "Stable egwlibrium paint of aum diffuime functional differential eguations" J. Nanlinear Anal. T. M. A.25. 1037-1043 (1995)

[Publications] Yoshiyuki Hino: "Stability properties in an abatract linear functional differcntial eguatiaons with infiuth delay" Dynamical Syotems and Appl, WSSIAA. 4. 329-341 (1995)

[Publications] Satoru Murakami: "Periodic Sobutians of sume punctional diffctional differential eyuatims mith diffusion" Funkcial. Ekvac.(掲載確定).

[Publications] Saber Elaydi: "Asymptotic stability versus expumential stability in linear Volterra difference eguatims of cayvolution type" J. Difference Eguations & Appl.(掲載確定).

村上悟岡山理科大学, 理学部, 教授 (40123963)