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Solvability for impulsive neutral integro-differential equations with state-dependent delay via fractional operators - MaRDI portal

Solvability for impulsive neutral integro-differential equations with state-dependent delay via fractional operators (Q965051)

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scientific article; zbMATH DE number 5696832
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Solvability for impulsive neutral integro-differential equations with state-dependent delay via fractional operators
scientific article; zbMATH DE number 5696832

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    Solvability for impulsive neutral integro-differential equations with state-dependent delay via fractional operators (English)
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    21 April 2010
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    The paper is concerned with the existence of mild solutions for a first-order impulsive neutral integro-differential equation with state-dependent delay. By using a fixed-point theorem for condensing maps combined with theories of analytic resolvent operators, the authors prove some existence results.
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    impulsive differential equations
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    neutral integro-differential equations
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    state-dependent delays
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    analytic resolvents
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