Existence of multiple solutions to second-order discrete Neumann boundary value problems

被引：37

作者：

Long, Yuhua ^{[1
]}

Chen, Jiali

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 83卷

关键词：

Difference equation; Neumann boundary value problem; Sign-changing solution; Invariant set of descending flow; SIGN-CHANGING SOLUTIONS;

D O I：

10.1016/j.aml.2018.03.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the invariant set of descending flow and variational method, we establish the existence of multiple solutions to a class of second-order discrete Neumann boundary value problems. The solutions include sign-changing solutions, positive solutions, and negative solutions. An example is given to illustrate our results. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：7 / 14

页数：8

共 50 条

[41] EXISTENCE OF SOLUTIONS FOR SECOND-ORDER NONLINEAR IMPULSIVE BOUNDARY-VALUE PROBLEMS
Ahmad, Bashir
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[42] Existence of Nontrivial Solutions for Some Second-Order Multipoint Boundary Value Problems
Li, Hongyu
Zhang, Junting
JOURNAL OF FUNCTION SPACES, 2018, 2018
[43] Existence and multiple solutions for nonlinear second-order discrete problems with minimum and maximum
Ma, Ruyun
Gao, Chenghua
ADVANCES IN DIFFERENCE EQUATIONS, 2008, 2008 (1)
[44] Positive solutions for second-order superlinear repulsive singular Neumann boundary value problems
Jifeng Chu
Xiaoning Lin
Daqing Jiang
Donal O’Regan
Ravi P. Agarwal
Positivity, 2008, 12 : 555 - 569
[45] Positive solutions for second-order superlinear repulsive singular Neumann boundary value problems
Chu, Jifeng
Lin, Xiaoning
Jiang, Daqing
O'Regan, Donal
Agarwal, Ravi P.
POSITIVITY, 2008, 12 (03) : 555 - 569
[46] Existence and Multiple Solutions for Nonlinear Second-Order Discrete Problems with Minimum and Maximum
Ruyun Ma
Chenghua Gao
Advances in Difference Equations, 2008
[47] Multiple nonnegative solutions of second-order systems of boundary value problems
Ma, RY
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (06) : 1003 - 1010
[48] On the Existence of Multiple Solutions of a Class of Second-Order Nonlinear Two-Point Boundary Value Problems
Shivanian, E.
Abdolrazaghi, F.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2015, 14 (02): : 97 - 107
[49] Bifurcation interval for positive solutions to discrete second-order boundary value problems
Ma, Ruyun
Gao, Chenghua
Xu, Youji
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2011, 17 (09) : 1251 - 1265
[50] On boundary value problems for second-order discrete inclusions
Stehlik, Petr
Tisdell, Christopher C.
BOUNDARY VALUE PROBLEMS, 2005, 2005 (02) : 153 - 163

← 1 2 3 4 5 →