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On Solution of a Nonlinear Functional Integrodifferential Equations with Nonlocal Conditions in Banach Spaces

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In paper is concerned with a class of first-order nonlinear functional integrodifferential equations with nonlocal conditions in Banach spaces. Sufficient conditions for existence of mild solutions are obtained by using the theory of resolvent operators, Banach’s contraction principle and Schaefer’s fixed point theorem. As an application, we also consider a partial functional integrodifferential equation.

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Correspondence to Zuomao Yan.

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Received: January 16, 2009. Revised: March 30, 2009.

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Yan, Z., Pu, Z. On Solution of a Nonlinear Functional Integrodifferential Equations with Nonlocal Conditions in Banach Spaces. Results. Math. 55, 493 (2009). https://doi.org/10.1007/s00025-009-0401-1

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  • DOI: https://doi.org/10.1007/s00025-009-0401-1

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