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Nonlocal problems for parabolic inclusions

Pages: 82 - 91, Issue Special, September 2009

 Abstract        Full Text (165.1K)              

Abdelkader Boucherif - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Box 5046 Dhahran, 31261, Saudi Arabia (email)

Abstract: In this paper we investigate a class of parabolic inclusions with a nonlocal condition of integral type. We provide sufficient conditions that guarantee the existence of at least one solution. Our technique is based on Green's function for linear parabolic partial differential equations and fixed point theorems for multivalued maps.

Keywords:  parabolic problems; integral representation of solutions, multivalued maps, nonlocal conditions, fixed point theorems
Mathematics Subject Classification:  Primary: 35R70; Secondary:35K60; 35C15

Received: June 2008;      Revised: April 2009;      Published: September 2009.