A Study of a Nonlinear Ordinary Differential Equation in Modular Function Spaces Endowed with a Graph

Author:

Jeddi Jaauad1ORCID,Kabil Mustapha1,Lazaiz Samih2ORCID

Affiliation:

1. Laboratory of Mathematics and Applications, Faculty of Sciences and Technologies Mohammedia, University Hassan II Casablanca, Morocco

2. LASMA Laboratory, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fes, Morocco

Abstract

In this paper, we prove by means of a fixed-point theorem an existence result of the Cauchy problem associated to an ordinary differential equation in modular function spaces endowed with a reflexive convex digraph.

Publisher

Hindawi Limited

Subject

Analysis

Reference15 articles.

1. An existence result for nonlinear elliptic equations in Musielak-Orlicz-Sobolev spaces

2. Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations

3. Notes on modular function spaces I;W. M. Kozlowski;Commentationes Mathematicae,1988

4. Notes on modular function spaces II;W. M. Kozlowski;Commentationes Mathematicae,1988

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