Some study of a cauchy problem in parabolic integrodifferential equations class

Author:

AL-FHAID A. S.1

Affiliation:

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

Abstract

We consider the parabolic integrodifferential equations of a form given below. We establish local existence and uniqueness and prove the convergence in L2(En) to the solution Ut of the Cauchy problem.

Publisher

Oriental Scientific Publishing Company

Subject

Pharmacology (medical),Complementary and alternative medicine,Pharmaceutical Science

Reference10 articles.

1. A.S. Al-Fhaid, The Derivation of Interstellar Extinction Curves and Modelling, Ph.D. Thesis.

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3. Calderon H. P., Zygmond A. Singular Integral Operators and Differential Equations II, Amer J. Math., 79,(3); (1957).

4. EhrenperiesL, Cauchy’s Problem for linear Differential Equations with constant coef-ficients II, Proc. Nat. Acad. Soi USA, 42. Nv. 9.

5. El-Borai. M. On the correct formulation of the Canchy problem Vesnik Moscow univ. 4 (1968).

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