Homoclinic solutions for ordinary p-Laplacian systems with a coercive potential

被引：63

作者：

Tang, X. H. ^{[1
]}

Xiao, Li ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 3-4期

关键词：

Homoclinic solutions; p-Laplacian systems; Coercive potential; PERIODIC-SOLUTIONS; 2ND-ORDER SYSTEMS; ORBITS; EXISTENCE;

D O I：

10.1016/j.na.2008.11.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A result for the existence of homoclinic orbits is obtained for p-Laplacian systems d/dt (vertical bar(u) over dot(t)vertical bar(p-2)(u) over dot(t)) = del F(t, u(t)) + f(t), where p > 1, u is an element of R-n, F is an element of C-1(R x R-n, R) is T-periodic with respect to t and f : R -> R-n is a continuous and bounded function such that F(t, x ) >= F(t, 0) + b vertical bar x vertical bar(mu) and integral(R) vertical bar f(t)vertical bar(mu/(mu-1)) dt < infinity for some b > 0 and mu > 1. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1124 / 1132

页数：9

共 50 条

[1] HOMOCLINIC SOLUTIONS FOR ORDINARY (q,p)-LAPLACIAN SYSTEMS WITH A COERCIVE POTENTIAL
Pasca, Daniel
MATHEMATICA SLOVACA, 2017, 67 (02) : 509 - 518
[2] Homoclinic solutions for ordinary p-Laplacian systems
Lv, Xiang
Lu, Shiping
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) : 5682 - 5692
[3] Fast homoclinic solutions for a class of ordinary p-Laplacian systems
Bo Du
Boundary Value Problems, 2015
[4] Fast homoclinic solutions for a class of ordinary p-Laplacian systems
Du, Bo
BOUNDARY VALUE PROBLEMS, 2015,
[5] POSITIVE HOMOCLINIC SOLUTIONS FOR THE DISCRETE p-LAPLACIAN WITH A COERCIVE WEIGHT FUNCTION
Iannizzotto, Antonio
Radulescu, Vicentiu D.
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2014, 27 (1-2) : 35 - 44
[6] EXISTENCE OF HOMOCLINIC SOLUTIONS TO NONAUTONOMOUS SECOND-ORDER p-LAPLACIAN SYSTEM WITH A COERCIVE POTENTIAL
Yun Xin
Zhibo Cheng
Annals of Applied Mathematics, 2015, 31 (03) : 345 - 353
[7] Homoclinic solutions for ordinary p-Laplacian systems with local super-p linear conditions
Ge, Xiaochun
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2022, 29 (02) : 235 - 248
[8] Homoclinic Solutions for p-Laplacian Hamiltonian Systems with Combined Nonlinearities
Ziheng Zhang
Rong Yuan
Qualitative Theory of Dynamical Systems, 2017, 16 : 761 - 774
[9] Homoclinic solutions for second order discrete p-Laplacian systems
Xiaofei He
Peng Chen
Advances in Difference Equations, 2011
[10] Homoclinic solutions for second order discrete p-Laplacian systems
He, Xiaofei
Chen, Peng
ADVANCES IN DIFFERENCE EQUATIONS, 2011, : 1 - 16

← 1 2 3 4 5 →