Global existence of a restoring force realizing a prescribed half-period

被引：5

作者：

Kamimura, Yutaka ^{[1
]}

机构：

[1] Tokyo Univ Marine Sci & Technol, Dept Ocean Sci, Minato Ku, Tokyo 1088477, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 248卷 / 10期

关键词：

Inverse problem; Nonlinear integral equation; Global existence; Half-period; HAMILTONIAN-SYSTEMS; ISOCHRONICITY;

D O I：

10.1016/j.jde.2010.02.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2562 / 2584

页数：23

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