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Existence of solutions for a class of abstract neutral differential equations

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This paper is devoted to studying the existence of solutions for a general class of abstract neutral functional differential equations of first order with finite delay. Specifically, we distinguish among… Click to show full abstract

This paper is devoted to studying the existence of solutions for a general class of abstract neutral functional differential equations of first order with finite delay. Specifically, we distinguish among mild, strong and classical solutions, and we characterize in terms of the forcing function of the equation the existence of solutions of each one of these types.

Keywords: class abstract; abstract neutral; solutions class; differential equations; existence solutions

Journal Title: Discrete and Continuous Dynamical Systems
Year Published: 2017

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