On the Existence Results of First and Second-Order Differential Inclusions Involving the \(\phi\)-Laplacian in \(\mathbb{R}^n\)

Mohammed Lasgaa, Myelkebir Aitalioubrahim

Abstract

In this paper, we will establish the existence of solutions to systems of first-order and second-order differential inclusions, with nonlinear differential operators, satisfying some boundary value conditions. We consider the case where the right-hand side is a lower semi-continuous set-valued map.

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Pan-Amer. J. Math. 5 (2026), 14
DOI: https://doi.org/10.28919/cpr-pajm/5-14
This article was published on August 7, 2026 by Mathyze, under a Creative Commons Attribution 4.0 International License.