| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Research Abstract |
We establish a theory of a nonlinear integral transform and obtain a global theorem for an inverse problem in bifurcation theory. Based upon the result we consider a problem of determining a nonlinearity of an autonomous differential equation of a period function, namely, a relation between periods and amplitudes to prove a global existence of nonlinear terms realizing a prescribed, Lipschitz continuous period function and characterize the nonlinear terms. This gives a complete answer to a classical inverse problem in a nonlinear autonomous oscillation.
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