Two nontrivial solutions for periodic systems with indefinite linear part

Motreanu  D; Motreanu  VV; Papageorgiou  NS

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Two nontrivial solutions for periodic systems with indefinite linear part

机译：Two nontrivial solutions for periodic systems with indefinite linear part

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摘要

We consider second order periodic systems with a nonsmooth potential and an indefinite linear part. We impose conditions under which the nonsmooth Euler functional is unbounded. Then using a nonsmooth variant of the reduction method and the nonsmooth local linking theorem, we establish the existence of at least two nontrivial solutions.

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来源
《Discrete and continuous dynamical systems》 |2007年第1期|197-210|共14页
作者
Motreanu D; Motreanu VV; Papageorgiou NS;
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作者单位

Univ Perpignan, Dept Math, F-66860 Perpignan, France;

Natl Tech Univ Athens, Dept Math, Athens 15780, Greece;

Department of Applied Science, University of California at Davis, Califronia 95616;

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正文语种英语
中图分类理论力学（一般力学）;
关键词
second order periodic system; multiple solutions; PS-condition; non-smooth reduction method; local linking; HAMILTONIAN-SYSTEMS; 2ND-ORDER SYSTEMS; CRITICAL-POINTS;

Two nontrivial solutions for periodic systems with indefinite linear part

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