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Impulsive functional-differential equations with nonlocal conditions - MaRDI portal

Impulsive functional-differential equations with nonlocal conditions (Q1607841)

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scientific article; zbMATH DE number 1780338
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Impulsive functional-differential equations with nonlocal conditions
scientific article; zbMATH DE number 1780338

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    Impulsive functional-differential equations with nonlocal conditions (English)
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    13 August 2002
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    Summary: The existence, uniqueness, and continuous dependence of a mild solution to an impulsive functional-differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed-point theorems, of a \(C_{0}\) semigroup of operators and the Banach contraction theorem are applied.
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    existence
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    uniqueness
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    continuous dependence
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    mild solution
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    impulsive functional-differential evolution nonlocal Cauchy problem
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