Abstract
In this chapter, we shall prove the existence of mild solutions of first order impulsive functional equations in a separable Banach space. Our approach will be based for the existence of mild solutions, on a fixed point theorem of Burton and Kirk [88] for the sum of a contraction map and a completely continuous map.
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Abbas, S., Benchohra, M. (2015). Impulsive Semi-linear Functional Differential Equations. In: Advanced Functional Evolution Equations and Inclusions. Developments in Mathematics, vol 39. Springer, Cham. https://doi.org/10.1007/978-3-319-17768-7_9
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DOI: https://doi.org/10.1007/978-3-319-17768-7_9
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