Existence of positive solutions to impulsive nonlinear differential systems of second order with two point boundary conditions

Halima Kadari; Abderrahmane Oumansour; John R. Graef; Abdelghani Ouahab

doi:10.24193/subbmath.2024.3.10

Authors

Halima Kadari University of Sidi Bel-Abbes, Algeria
Abderrahmane Oumansour University of Sidi Bel-Abbes, Algeria
John R. Graef University of Tennessee at Chattanooga http://orcid.org/0000-0002-8149-4633
Abdelghani Ouahab University of Sidi Bel-Abbes, Algeria

DOI:

https://doi.org/10.24193/subbmath.2024.3.10

Keywords:

Two point boundary values problem, impulses, Vector version of Krasnosel'skii's fixed point theorem in cones, positive solutions

Abstract

In this paper the authors consider the existence of positive solutions to a two
point boundary value problem for nonlinear second-order impulsive systems.
They use a vector version of Krasnosel'skii's fixed point theorem in cones in their proofs. Examples are provided to illustrate the results.

Author Biography

John R. Graef, University of Tennessee at Chattanooga

Professor, Department of Mathematics

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