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Existence results for abstract impulsive second-order neutral functional differential equations. (English) Zbl 1173.34049
The authors provide sufficient conditions for the existence of mild solutions for a class of second order semilinear impulsive neutral functional differential equations with infinite delay in a Banach space. The main results are obtained using the family of bounded linear cosine operators and the fixed point argument. An example is presented showing the applicability of the imposed conditions.

MSC:
34K30Functional-differential equations in abstract spaces
34K40Neutral functional-differential equations
34K45Functional-differential equations with impulses
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References:
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