Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities

被引：1
|
作者：
Cabada, Alberto [1 ]
Dimitrov, Nikolay D. [2 ]
机构：
[1] Univ Santiago de Compostela, Dept Estat Anal Matemat & Optimizac, Inst Matemat, Fac Matemat, Santiago De Compostela, Spain
[2] Univ Ruse, Dept Math, Ruse, Bulgaria
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期
基金：
美国国家科学基金会;
关键词：
Inverse discrete problem; Difference equation; Green's function; Spectral radius; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; DIFFERENCE-EQUATIONS; EXISTENCE;
D O I：
10.1186/s13662-019-2383-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the existence of solutions of an inverse discrete problem with sign-changing nonlinearity. This kind of problems includes, as a particular case, nth order difference equations coupled with suitable conditions on the boundary of the interval of definition. It would be valid for the case in which the related Green's function is positive on a subset of its rectangle of definition. The existence results follow from spectral theory, as an application of the Krein-Rutman theorem and by means of degree theory.
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页数：16
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