IJPAM: Volume 113, No. 1 (2017)

Title

A COUPLED SYSTEM OF FUNCTIONAL DIFFERENTIAL
EQUATIONS IN REFLEXIVE BANACH SPACES

Authors

A.M.A. El-Sayed$^1$, W.G. El-Sayed$^2$, A.A.H. Abd El-Mowla$^3$
$^{1,2}$Faculty of Science
Alexandria University
Alexandria, EGYPT
$^3$Faculty of Science
Omar Al-Mukhtar University
Derna, LIBYA

Abstract

We present an existence theorem for at least one weak solution for the coupled system of functional differential equations

\begin{eqnarray*} x'(t)&=& f_{1}(t,y'(t)),~t~\in~(0,T],\nonumber\\ [8pt] y'(t)&=& f_{2}(t,x'(t)),~t~\in~(0,T]\nonumber \end{eqnarray*}


in reflexive Banach spaces.

History

Received: October 8, 2016
Revised: December 7, 2016
Published: February 28, 2017

AMS Classification, Key Words

AMS Subject Classification: 35D30, 34Gxx
Key Words and Phrases: weak solution, functional differential equations, O'Regan fixed point theorem, coupled system

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How to Cite?

DOI: 10.12732/ijpam.v113i1.4 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 1
Pages: 35 - 42


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