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

Lasgaa, Mohammed; Aitalioubrahim, Myelkebir

doi:10.28919/cpr-pajm/5-14

Research article

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.

How to cite

M. Lasgaa, M. Aitalioubrahim, On the Existence Results of First and Second-Order Differential Inclusions Involving the \(\phi\)-Laplacian in \(\mathbb{R}^n\), Pan-Amer. J. Math. 5 (2026), 14. https://doi.org/10.28919/cpr-pajm/5-14

BibTeX

@article{Lasgaa2026,
  author  = {Lasgaa, Mohammed and Aitalioubrahim, Myelkebir},
  title   = {On the Existence Results of First and Second-Order Differential Inclusions Involving the \(\phi\)-Laplacian in \(\mathbb{R}^n\)},
  journal = {Pan-Amer. J. Math.},
  volume  = {5},
  year    = {2026},
  pages   = {14},
  doi     = {10.28919/cpr-pajm/5-14}
}