Work

Positive solutions for a class of non-autonomous second order difference equations via a new functional fixed point theorem

Year: 2022

Type: article

Abstract: In this paper, by using recent results on fixed point index, we develop a new fixed point theorem of functional type for the sum of two operators $T+S$ where $I-T$ is Lipschitz invertible and $S$ a $k$-set contraction. This fixed point theorem is then used to establish a new result on the existence of positive solutions to a non-autonomous second order difference equation.

Source: Archivum Mathematicum

DOI: 10.5817/am2022-4-199

Authors: Lydia Bouchal, Karima Mebarki, Svetlin Georgiev Georgiev

Institutions: University of Béjaïa, Sofia University "St. Kliment Ohridski"

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Direction Générale de la Recherche Scientifique et du Développement Technologique

OpenAlex ID: W4312376929

FWCI:

Cites: 23

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Related to: 10