ON THE WEAK SOLUTIONS OF THE URYSOHN-STIELTJES
FUNCTIONAL INTEGRAL EQUATIONS
Ahmed M. El-Sayed1, Masouda M. Al-Fadel2
1Faculty of Science
Alexandria University
Alexandria, EGYPT
2 Faculty of Science
Omar Al-Mukhtar University
Al-Qubbah, LIBYA

Abstract

The analysis of Urysohn-Stieltjes integral operators has been studied in [#!jb1!#]. Here we study the existence of weakly solution of functional integral equations of Urysohn-Stieltjes type and Hammerstien-Stieltjes type in the reflexive Banach space E. Also, we prove the existence of the weak maximal and weak minimal solutions.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 31
Issue: 2
Year: 2018

DOI: 10.12732/ijam.v31i8.8

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