Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function

被引：0

作者：

Cabada, Alberto ^{[1
]}

Dimitrov, Nikolay D. ^{[2
]}

机构：

[1] Univ Santiago de Compostela, Inst Matemat, Santiago De Compostela, Spain

[2] Univ Ruse, Dept Math, Ruse 7017, Bulgaria

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 12期

关键词：

difference equation; homoclinic solutions; positive solutions; parameter dependence; sign-changing Green's function; EXISTENCE;

D O I：

10.1002/mma.4929

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we, consider an n-th order nonlinear difference equation with parameter dependence. An exhaustive study of the related Green's function is done. The exact expression of the function is given. The range of parameter for which either it has constant sign or it changes sign is obtained. Some existence results for the nonlinear problem are deduced by using the classical Krasnosel'skii's fixed point theorem on cones and fixed point index theory.

引用

页码：4763 / 4775

页数：13

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