Abstract

In this paper, a fixed point theorem for condensing maps combined with upper and lower solutions are used to investigate the existence of solutions for first order functional differential inclusions.

Highlights

  • This paper is concerned with the existence of solutions for the initial multivalued problem: Cw − J Ð>ß C>Ñ, for a.e. > − N œ Ò!ß X Ó Ð"Ñ C! œ 9ßÐ#Ñ where J À N ‚ GÐN!ß ‘Ñ Ä #‘ÐN! œ Ò

  • A fixed point theorem for condensing maps combined with upper and lower solutions are used to investigate the existence of solutions for first order functional differential inclusions

  • The method of upper and lower solutions has been successfully applied to study the existence of multiple solutions for initial and boundary value problems of first order functional differential equations

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Summary

A METHOD OF UPPER AND LOWER SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL INCLUSIONS

A fixed point theorem for condensing maps combined with upper and lower solutions are used to investigate the existence of solutions for first order functional differential inclusions.

Introduction
Preliminaries
Main Result
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