Existence of homoclinic solutions for a class of second order systems

被引：15

作者：

Zhu, Wenzhuang ^{[1
,2
]}

机构：

[1] Nankai Univ, Sch Math, Chern Inst, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 04期

关键词：

Second order systems; Homoclinic solutions; Variational method; Critical points; ORBITS;

D O I：

10.1016/j.na.2011.10.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of nontrivial homoclinic solutions for a second order differential equation of the form q + A(q) over dot - L(t)q + W-q(t, q) = 0. Here, we assume that A is a antisymmetric constant matrix, L(t) is a continuous positive definite symmetric matrix valued function depending periodically on t and assume that potential W is asymptotically quadratic as vertical bar q vertical bar -> 0 and vertical bar q vertical bar -> 8. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2455 / 2463

页数：9

共 50 条

[21] Existence of Homoclinic Solutions for a Class of Second-Order Hamiltonian Systems with Locally Subquadratic Potentials
Lv, Xiang
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2020, 19 (01)
[22] Existence of Homoclinic Solutions for a Class of Second-Order Hamiltonian Systems with Locally Subquadratic Potentials
Xiang Lv
Qualitative Theory of Dynamical Systems, 2020, 19
[23] Homoclinic solutions for a class of second order discrete Hamiltonian systems
Tang, Xian Hua
Lin, Xiao Yan
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (03) : 609 - 622
[24] Homoclinic solutions for a class of second-order Hamiltonian systems
Lv, Xiang
Lu, Shiping
Jiang, Jifa
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (01) : 176 - 185
[25] Homoclinic Solutions for a Class of Second Order Discrete Hamiltonian Systems
Xian Hua TANG
Xiao Yan LIN
Acta Mathematica Sinica, 2012, 28 (03) : 609 - 622
[26] Homoclinic solutions for a class of second order discrete Hamiltonian systems
Xian Hua Tang
Xiao Yan Lin
Acta Mathematica Sinica, English Series, 2012, 28 : 609 - 622
[27] Homoclinic solutions for a class of second-order Hamiltonian systems
Tang, X. H.
Lin, Xiaoyan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 354 (02) : 539 - 549
[28] Homoclinic solutions for a class of second-order Hamiltonian systems
Tang, X. H.
Xiao, Li
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (3-4) : 1140 - 1152
[29] Homoclinic Solutions for a Class of Second Order Discrete Hamiltonian Systems
Xian Hua TANG
Xiao Yan LIN
Acta Mathematica Sinica,English Series, 2012, (03) : 609 - 622
[30] Homoclinic solutions for a class of second order discrete Hamiltonian systems
Tang, X. H.
Lin, Xiaoyan
Xiao, Li
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2010, 16 (11) : 1257 - 1273

← 1 2 3 4 5 →