Singularly perturbed volterra integro-differential equations

Abstract

Several investigations have been made on
singularly perturbed integral equations. This paper aims at
presenting an algorithm for the construction of asymptotic solutions and then
provide a proof asymptotic correctness to singularly perturbed systems
of Volterra integro-differential
equations.


Mathematics Subject
Classification (2000):
45D05, 45F05, 45J05, 41A60.



Key words: Singular perturbation; Volterra integro-differential
equations



Quaestiones
Mathematicae 25 (2002), 229-248