| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
In this study, we consider the inverse and direct bifurcation problems of nonlinear eigenvalue problems. For the direct problems, we establish the precise asymptotic formulas for the eigenvalue problems which have biological and physical background. For the inverse bifurcation problems, we consider the typical inverse problem for elliptic equations to understand well the structure of inverse problems. In particular, we concentrate on the study of the global structure of bifurcation curves for some nonlinear ordinary differential equations. We apply these precise asymptotic properties to the typical inverse bifurcation problem and obtained some fundamental and new results in this direction.
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