Solution of some Retarded Functional Differential Equation by Schauder’s Fixed point Theorem
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Date
2011-01
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Addis Ababa University
Abstract
So far, many things were said about differential equations without time delay, the so
called ordinary differential equations or partial differential equations, and their solutions.
The fixed point theorems have been used to show the existence and uniqueness of
solution of initial value problem of these equations. Since time delay occurs naturally in
just about every interaction of the real world, here in this project we see some differential
equations with time delay, the so called functional differential equations or delay
differential equations in general and use Schauder’s fixed point theorem to show that a
solution of a retarded functional differential equation is a fixed point of an integral
operator obtained by variation of parameter method in particular
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Solution of some Retarded Functional Differential