On a class of damped vibration problems with obstacles

被引：3
|
作者：
Wu, Xian [1 ]
Wang, Shaomin [2 ]
机构：
[1] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China
[2] Dali Univ, Dept Math, Dali 671000, Yunnan, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Second order Hamiltonian system; Periodic solution; Critical point; DIFFERENTIAL-EQUATIONS; IMPACT OSCILLATORS; RESONANCE;
D O I：
10.1016/j.nonrwa.2009.10.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is to study the following damped vibration problem -x = g(t)(x) over dot + f(t, x) (1.1) satisfying x(0) - x(2 pi) = (x) over dot(0) - (x) over dot(2 pi) = 0, x(t) >= 0, for all t is an element of R (1.2) (x)(t(0)(-)) = -(x) over dot(t(0)(+)), if x(t(0)) = 0. (1.3) The variational principles are given and some existence and multiplicity results of nonzero periodic solutions satisfying (1.1)-(1.3) are obtained. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2973 / 2988
页数：16
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