EXISTENCE OF A MILD SOLUTION OF A FUNCTIONAL INTEGRODIFFERENTIAL EQUATION WITH NONLOCAL CONDITION

Abstract

In this paper we prove the existence and uniqueness of a mild solution of a functional differential equation with nonlocal condition using the semigroup theory and the Banach fixed point principle.

Keywords

• $C_0$ semigroup;
• Banach fixed point principle;
• functional integrodifferential equation;
• nonlocal condition

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References

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