Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Weak maximal and minimal solutions for Hammerstein and Urysohn integral equations in reflexive Banach spaces

Author(s):

A.M.A. El-Sayed

Faculty of Science,
Alexandria University,
Alexandria,
Egypt

amasayed@alexu.edu.eg

H.H.G. Hashem

Faculty of Science,
Alexandria University,
Alexandria,
Egypt

hendhghashem@yahoo.com

Abstract:

We present existence theorem of weak solutions for Hammerstein and Urysohn integral equations. Also, we shall define the weak maximal and weak minimal solutions for these integral equations and finally prove the existence of the weak maximal and minimal solutions.

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