Existence and uniqueness of a solution to a partial integro-differential equation by the method of lines

D. Bahuguna, Indian Institute of Technology, Kanpur, India
J. Dabas, Indian Institute of Technology, Kanpur, India

E. J. Qualitative Theory of Diff. Equ., No. 4. (2008), pp. 1-12.

Communicated by P. Eloe. Received on 2007-07-05
Appeared on 2008-01-07

Abstract: In this work we consider a partial integro-differential equation. We reformulate it a functional integro-differential equation in a suitable Hilbert space. We apply the method of lines to establish the existence and uniqueness of a strong solution.

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