On sequences of large homoclinic solutions for a difference equations on the integers

被引：4

作者：

Steglinski, Robert ^{[1
]}

机构：

[1] Tech Univ Lodz, Inst Math, Wolczanska 215, PL-90924 Lodz, Poland

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2016年

关键词：

difference equations; discrete p-Laplacian; variational methods; infinitely many solutions; BOUNDARY-VALUE-PROBLEMS; DISCRETE P-LAPLACIAN; EXISTENCE;

D O I：

10.1186/s13662-016-0771-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we determine a concrete interval of positive parameters lambda, for which we prove the existence of infinitely many homoclinic solutions for a discrete problem -Delta phi(p)(Delta u(k - 1)) + a(k)phi(p)(u(k)) = lambda f(k,u(k)), k is an element of Z, where the nonlinear term f : Z x R -> R has an appropriate behavior at infinity, without any symmetry assumptions. The approach is based on critical point theory.

引用

页码：1 / 11

页数：11

共 50 条

[1] On sequences of large homoclinic solutions for a difference equations on the integers
Robert Stegliński
[J]. Advances in Difference Equations, 2016
[2] SEQUENCES OF SMALL HOMOCLINIC SOLUTIONS FOR DIFFERENCE EQUATIONS ON INTEGERS
Steglinski, Robert
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[3] On sequences of large homoclinic solutions for a difference equation on the integers involving oscillatory nonlinearities
Steglinski, Robert
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (35) : 1 - 11
[4] Existence of Homoclinic Solutions for Difference Equations on Integers Via Variational Method
Boroun, Maisam
Heidarkhani, Shapour
De Araujo, Anderson L. A.
[J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
[5] SEQUENCES OF POSITIVE HOMOCLINIC SOLUTIONS TO DIFFERENCE EQUATIONS WITH VARIABLE EXPONENT
Steglinski, Robert
Nockowska-Rosiak, Magdalena
[J]. MATHEMATICA SLOVACA, 2020, 70 (02) : 417 - 430
[6] Existence of homoclinic constant sign solutions for a difference equation on the integers
Cabada, Alberto
Iannizzotto, Antonio
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 224 : 216 - 223
[7] Homoclinic Solutions for a Class of Nonlinear Difference Equations
Mai, Ali
Zhou, Zhan
[J]. JOURNAL OF APPLIED MATHEMATICS, 2014,
[8] HOMOCLINIC SOLUTIONS OF DIFFERENCE EQUATIONS WITH VARIABLE EXPONENTS
Mihailescu, Mihai
Radulescu, Vicentiu
Tersian, Stepan
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2011, 38 (02) : 277 - 289
[9] Existence of Homoclinic Solutions for a Class of Nonlinear Difference Equations
Peng Chen
XH Tang
[J]. Advances in Difference Equations, 2010
[10] Homoclinic solutions in periodic difference equations with saturable nonlinearity
ZHOU Zhan1
2Department of Mathematics
[J]. Science China Mathematics, 2011, 54 (01) : 83 - 93

← 1 2 3 4 5 →