Existence and uniqueness of mild solutions for impulsive semi linear differential equations in a Banach space
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Abstract
This paper is devoted to study the uniqueness and existence of mild solutions for impulsive semilinear differential equations, we assume that the linear part generates a strongly continuous semigroup on a general Banach space in a Banachspace. The arguments are based upon Banach’s, Mönch’s and Darbo’sfixed point theorems and the technique of measure of noncompactness. Finally, an illustrative example is given to illustrate the results.
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