Existence of solutions of nonlinear neutral integrodifferential equations in Banach spaces (Q1589949)
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scientific article; zbMATH DE number 1545037
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions of nonlinear neutral integrodifferential equations in Banach spaces |
scientific article; zbMATH DE number 1545037 |
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Existence of solutions of nonlinear neutral integrodifferential equations in Banach spaces (English)
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8 August 2001
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The authors prove an existence theorem for a nonlinear neutral integrodifferential equation in a Banach space. The main part of the equation is the infinitesimal operator that generates a strongly continuous semigroup of bounded linear operators in a Banach space. The results are obtained by using the Schaefer fixed point theorem.
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existence
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nonlinear neutral integrodifferential equation
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abstract Cauchy problem
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fixed point theorem
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mild solutions
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Banach space
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0.9734377
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0.95578927
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0.9478092
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0.9450093
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