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On the Weakly Continuous Solutions of a Coupled System of Functional Integral Equations

Автор(ы):

A.M.A. El-Sayed

Faculty of Science,
Alexandria University,
Alexandria,
Egypt

amasayed@alexu.edu.eg

R. O. Abd El Rahman

Faculty of Science,
Damanhour University,
Behera, Egypt

Fatma F. M. Gaffar

Faculty of Science,
Damanhour University,
Behera, Egypt

Nesreen El-Haddad

Faculty of Science,
Damanhour University,
Behera, Egypt

nesreen_fawzy20@yahoo.com

Аннотация:

The existence of weak solutions of integral equations and some coupled systems of integral equations have been studied, on some suitable assumptions, by some authors. In this work we concern with a coupled system of nonlinear Volterra-Urysohn functional integral equations in the reflexive Banach space E. The existence of weakly continuous solutions, in the Banach space C[I,E], will be proved under some certain assumptions concerning the functional equations that under the integral sign. As an application, the coupled system of nonlinear Volterra-Hammerstien functional integral equations is also studied.

Ключевые слова

• Coupled system
• Fixed point theorem
• Functional integral equations
• Weak solutions

Ссылки:

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