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
收藏
页码：2562 / 2584
页数：23
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