Global existence of a restoring force realizing a prescribed half-period
Global existence of a restoring force realizing a prescribed half-period
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DOI：
10.1016/j.jde.2010.02.002
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发表时间：
2010-05
影响因子：
2.4
通讯作者：
Yutaka Kamimura
中科院分区：
文献类型：
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作者：
Yutaka Kamimura
我们考虑一个反问题来确定一个自治微分方程的非线性，使得方程的每个解都有一个半周期，该半周期是解的半振幅的规定函数。在给定函数为Lipschitz连续的假设下，证明了非线性的全局存在性。给出了非线性的一种重构方法。
We consider an inverse problem to determine a nonlinearity of an autonomous differential equation so that each solution of the equation has a half-period that is a prescribed function of a half-amplitude of the solution. A global existence of the nonlinearity is proved under the assumption that the prescribed function is Lipschitz continuous. A reconstructive way of the nonlinearity is also given.