Electron. J. Diff. Eqns., Vol. 2004(2004), No. 136, pp. 1-13.

Approximations of solutions to retarded integrodifferential equations

Dhirendra Bahuguna, Malik Muslim

Abstract:
In this paper we consider a retarded integrodifferential equation and prove existence, uniqueness and convergence of approximate solutions. We also give some examples to illustrate the applications of the abstract results.

Submitted October 21, 2002. Published November 23, 2004.
Math Subject Classifications: 34K30, 34G20, 47H06.
Key Words: Retarded differential equation; analytic semigroup; approximate solution; convergence of solutions; Faedo-Galerkin approximation

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Dhirendra Bahuguna
Department of Mathematics
Indian Institute of Technology
Kanpur - 208 016, India
email: d_bahuguna@yahoo.com
Malik Muslim
Department of Mathematics
Indian Institute of Technology
Kanpur - 208 016, India
email: malik_iitk@yahoo.com

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