On positive solutions to fractional difference inclusions

• Tipo: Artigo em Revista Científica Internacional
• Data: 2015

Autores

Ferreira, RAC (Autor) Outra; Goodrich, CS (Autor) Outra

Revista

Título: Analysis (Germany)

Vol. 35

Páginas: 73-83

ISSN: 0174-4747

Editora: Walter De Gruyter

Indexação

Scopus - 7 Citações

Outras Informações

ID Authenticus: P-00G-3R8

DOI: 10.1515/anly-2012-1281

Abstract (EN): In this paper we consider a fractional difference inclusion of the form (¿-1 ¿ ¿ y)(t)¿¿y(t+¿-1)+f(t+¿-1,y(t+¿-1))y(¿-1=y(¿-1+T)+¿ j=1 N F j (y(t<inf>j</inf>)), where 0<¿<1. Consequently, we treat the situation in which the boundary condition is both nonlocal and nonlinear. Thus, the boundary conditions under study can be very general. We provide conditions under which this problem has at least one positive solution and then discuss the application of the results. Finally, since we allow F<inf>j</inf> 0, for each j, our results are also new for the case of periodic boundary conditions. © 2015 by De Gruyter.

Idioma: Inglês

Tipo (Avaliação Docente): Científica