On positive solutions to fractional difference inclusions

• Type: Article in International Scientific Journal
• Date: 2015

Authors

Ferreira, RAC (Author) Other; Goodrich, CS (Author) Other

Journal

Title: Analysis (Germany)

Vol. 35

Pages: 73-83

ISSN: 0174-4747

Publisher: Walter De Gruyter

Indexing

Scopus - 7 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific