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- Title
Positive homoclinic solutions of n‐th order difference equations with sign‐changing Green's function.
- Authors
Cabada, Alberto; Dimitrov, Nikolay D.
- Abstract
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.
- Subjects
DIFFERENCE equations; GREEN'S functions; EXISTENCE theorems; FIXED point theory; NONLINEAR operators
- Publication
Mathematical Methods in the Applied Sciences, 2018, Vol 41, Issue 12, p4763
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.4929