Some study of a cauchy problem in parabolic integrodifferential equations class

A. S. AL-FHAID

Department of Mathematics, College of Sciences, P.O.Box 80203 King Abdulaziz University, Jeddah - 21589 (Saudi Arabia).

Received on March 26, 2010 and accepted on April 28, 2010

ABSTRACT

We consider the parabolic integrodifferential equations of a form given below. We establish local existence and uniqueness and prove the convergence in to the solution of the Cauchy problem.

Keywords : Cauchy, parabolic, integrodiffrential equationss, operator.