Bounded solutions for a class of Hamiltonian systems

被引：0

作者：

Korman, Philip ^{[1
]}

Peng, Guanying ^{[1
,2
]}

机构：

[1] Univ Cincinnati, Cincinnati, OH 45220 USA

[2] Univ Arizona, Tucson, AZ USA

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2018年 / 81期

关键词：

solutions bounded for all t; a priori estimates;

D O I：

10.14232/ejqtde.2018.1.81

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain solutions bounded for all t is an element of(-infinity, infinity) of systems of ordinary differential equations as limits of the solutions of the corresponding Dirichlet problems on (-L, L), with L -> infinity. Using the variational approach, we derive a priori estimates for the corresponding Dirichlet problems, allowing passage to the limit, via a diagonal sequence.

引用

页码：1 / 7

页数：7

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