Volume no :5, Issue no: 1, May 2010

ON THE SOLVABILITY OF SOME SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS

Author's: S. Saltan and S. Acar
Pages: [85] - [92]
Received Date: March 9, 2010
Submitted by: Mubariz T. Karaev

Abstract

Let be a simply connected region in the complex plane that is, starlike with respect to the point and let be the space of all holomorphic functions in with the topology of compact convergence. We give a sufficient condition, which guarantees existence and uniqueness of the system of integro-differential equations
in the space This generalizes a result of Nagnibida [10].

Keywords

integro-differential equations system, Duhamel product, holomorphic function, Duhamel product, starlike region.