Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces (Q2876477)

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scientific article; zbMATH DE number 6331428
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Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces
scientific article; zbMATH DE number 6331428

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    Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces (English)
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    19 August 2014
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    mild solution
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    nonlocal conditions
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    impulsive condition
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    Hausdorff's measure of noncompactness
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    fixed point theorem
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    Quasilinear impulsive integrodifferential equations in Banach space are considered. The existence of mild solutions is studied. Several sufficient conditions are obtained by application of Hausdorff's measure of noncompactness. Some of the obtained results are illustrated by means of a particular example.
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