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Zbl 1173.34049
Hernández M., Eduardo; Henr{\'\i}quez, Hernán R.; McKibben, Mark A.
Existence results for abstract impulsive second-order neutral functional differential equations. (English)
[J] Nonlinear Anal., Theory Methods Appl. 70, No. 7, A, 2736-2751 (2009). ISSN 0362-546X

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.
[Mouffak Benchohra (Sidi Bel Abbes)]

MSC 2000:: *34K30 Functional-differential equations in abstract spaces
34K40 Neutral equations
34K45 Equations with impulses

Keywords: neutral equations; second-order differential equations; impulsive equations; cosine functions of operators

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