Solution Of Some Retarded Functional Differential Equation By Schauders Fixed Point Theorem

So far, many things were said about differential equations without time delay, the sorncalled ordinary differential equations or partial differential equations, and their solutions.rnThe fixed point theorems have been used to show the existence and uniqueness ofrnsolution of initial value problem of these equations. Since time delay occurs naturally inrnjust about every interaction of the real world, here in this project we see some differentialrnequations with time delay, the so called functional differential equations or delayrndifferential equations in general and use Schauder’s fixed point theorem to show that arnsolution of a retarded functional differential equation is a fixed point of an integralrnoperator obtained by variation of parameter method in particular

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