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Initial value problems for nonlinear second-order impulsive integro-differential equations in Banach space. (Chinese. English summary) Zbl 0962.34045

Summary: By introducing an equivalent norm and by applying the Banach fixed-point theorem under simple conditions, the author obtains existence and uniqueness and iterative approximation to solutions for initial value problems for nonlinear second-order impulsive integro-differential equations in a Banach space.

MSC:

34G20 Nonlinear differential equations in abstract spaces
45J05 Integro-ordinary differential equations
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