| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2020: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
The purpose of this research is to establish the precise asymptotic formulas for nonlinear bifurcation problems and obtain the new aspects of the inverse bifurcation problems. For the direct problems, we establish the precise asymptotic formulas for the eigenvalue problems which have biological and physical background. Precisely, we studied the ordinary differential equations with oscillatory and logarithmic terms and obtained the very precise results about the global shape of bifurcation curves and the solution curves associated with them. For the inverse bifurcation problems, we consider the problems associated with the direct problems to develop new directions of inverse problems. In particular, we obtained the new and important aspects for inverse bifurcation problems from the results obtained in the study of the global structures of bifurcation curves for the equation with oscillatory and logarithmic terms.
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