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 E. J. Qualitative Theory of Diff. Equ., No. 4. (2008), pp. 1-12.
J. Dabas, Indian Institute of Technology, Kanpur, India
| 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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