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

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.

Bibliographic Details
Main Authors: Dhirendra Bahuguna, J. Dabas
Format: Article
Language:English
Published: University of Szeged 2008-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=294