Nontrivial Solutions of Non-Autonomous Dirichlet Fractional Discrete Problems

Autor:	Nikolay D. Dimitrov, Alberto Cabada
Rok vydání:	2020
Předmět:	Spectral theory Series (mathematics) Differential equation Applied Mathematics Function (mathematics) Nonlinear system symbols.namesake Green's function symbols Applied mathematics Boundary value problem Uniqueness Analysis Mathematics
Zdroj:	Fractional Calculus and Applied Analysis. 23:980-995
ISSN:	1314-2224 1311-0454
DOI:	10.1515/fca-2020-0051
Popis:	In this paper, we introduce a two-point boundary value problem for a finite fractional difference equation with a perturbation term. By applying spectral theory, an associated Green’s function is constructed as a series of functions and some of its properties are obtained. Under suitable conditions on the nonlinear part of the equation, some existence and uniqueness results are deduced.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cb26b10e090656c7c2d2956e02f7c08c https://doi.org/10.1515/fca-2020-0051 Zobrazit plný text záznamu Full text from SpringerLink