Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities

Autor:	Alberto Cabada, Nikolay D. Dimitrov
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Inverse discrete problem Difference equation Green’s function Spectral radius Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-16 (2019)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-019-2383-y
Popis:	Abstract 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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/b49ed00eb67843a880bedadf2f2ff49e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.