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An existence result for first-order impulsive functional differential equations in Banach spaces. (English) Zbl 1005.34069
Summary: Here, the Leray-Schauder nonlinear alternative is used to investigate the existence of solutions to first-order impulsive initial value problems for functional-differential equations in Banach spaces.

MSC:
34K30 Functional-differential equations in abstract spaces
34K45 Functional-differential equations with impulses
47N20 Applications of operator theory to differential and integral equations
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