Original scientific paper

https://doi.org/10.3336/gm.53.1.09

Existence and boundedness of solutions for systems of difference equations with infinite delay

Juan J. Nieto ; Instituto de Matemáticas, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, 15782, Spain
Abdelghani Ouahab ; Laboratory of Mathematics, University of Sidi Bel-Abbès, P.O. Box 89, 22000 Sidi Bel-Abbès, Algeria
Mohammed A. Slimani orcid.org/0000-0001-5197-3492 ; Laboratory of Mathematics, University of Sidi Bel-Abbès, P.O. Box 89, 22000 Sidi Bel-Abbès, Algeria

Abstract

In this work we first establish some existence results followed by boundedness behavior and asymptotic behavior of solutions for systems of difference equations with infinite delay. Our approach is based on a Perov fixed point theorem in vector metric space. We apply our results to a system of Volterra difference equations.

Keywords

Difference equations; fixed point; infinite delay; boundedness; asymptotic behavior; matrix convergent to zero

Hrčak ID:

201827

URI

https://hrcak.srce.hr/201827

Publication date:

20.6.2018.

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