Existence and multiple solutions for a nonlinear system with a parameter

被引：23

作者：

Yang, Yang ^{[1
,2
]}

Zhang, Jihui ^{[1
]}

机构：

[1] Nanjing Normal Univ, Inst Math, Sch Math & Comp Sci, Nanjing, Peoples R China

[2] Jiangnan Univ, Sch Sci, Wuxi, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 07期

基金：

高等学校博士学科点专项科研基金;

关键词：

Nonlinear system; Critical point theory; Morse theory; Local linking; BOUNDARY-VALUE-PROBLEMS; NONTRIVIAL SOLUTIONS;

D O I：

10.1016/j.na.2008.03.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the critical point theory and the Morse theory are employed to discuss the system of nonlinear equations of the form Au = lambda f(u), where the matrix A is not necessarily positive definite. Some existence and multiple solutions are obtained. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2542 / 2548

页数：7

共 50 条

[1] Existence of solutions for a nonlinear system with a parameter
Zhang, G
Cheng, SS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (01) : 311 - 319
[2] Existence of solutions for a nonlinear algebraic system with a parameter
Candito, Pasquale
Bisci, Giovanni Molica
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (23) : 11700 - 11707
[3] Existence of non-zero solutions for a nonlinear system with a parameter
Zhang, Guang
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (06) : 1410 - 1416
[4] On the existence of periodic solutions for nonlinear system with multiple delays
Cao, XB
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2003, 24 (01) : 117 - 122
[5] ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR SYSTEM WITH MULTIPLE DELAYS
曹显兵
[J]. Applied Mathematics and Mechanics(English Edition), 2003, (01) : 117 - 122
[6] On the existence of periodic solutions for nonlinear system with multiple delays
Cao Xian-bing
[J]. Applied Mathematics and Mechanics, 2003, 24 (1) : 117 - 122
[7] A remark on the existence of multiple solutions to a multiparameter nonlinear elliptic system
Afrouzi, G. A.
Rasouli, S. H.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 445 - 455
[8] Existence results for a nonlinear system with a parameter
Yang, Yang
Zhang, Jihui
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (01) : 658 - 668
[9] On the multiple existence of semi-positive solutions for a nonlinear Schrodinger system
Sato, Yohei
Wang, Zhi-Qiang
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2013, 30 (01): : 1 - 22
[10] Multiple Existence of Nonradial Positive Solutions for a Coupled Nonlinear Schrodinger System
Hirano, Norimichi
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2009, 16 (02): : 159 - 188

← 1 2 3 4 5 →