# NONLOCAL CAUCHY PROBLEM FOR SOBOLEV TYPE FUNCTIONAL INTEGRODIFFERENTIAL EQUATION

• Published : 2002.11.01
• 54 7

#### Abstract

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

#### Keywords

$C^0$ semigroup;Banach fixed point principle;functional integrodifferential equation;Sobolev type;nonlocal condition

#### References

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#### Cited by

1. On Existence of Solutions of Impulsive Nonlinear Functional Neutral Integro-Differential Equations With Nonlocal Condition vol.48, pp.3, 2015, https://doi.org/10.1515/dema-2015-0029