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Global solutions of initial value problems for nonlinear integral-differential equations of mixed type in Banach spaces. - MaRDI portal

Global solutions of initial value problems for nonlinear integral-differential equations of mixed type in Banach spaces. (Q1860691)

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scientific article; zbMATH DE number 1874268
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English
Global solutions of initial value problems for nonlinear integral-differential equations of mixed type in Banach spaces.
scientific article; zbMATH DE number 1874268

    Statements

    Global solutions of initial value problems for nonlinear integral-differential equations of mixed type in Banach spaces. (English)
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    2002
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    The authors investigate the existence and the uniqueness of solutions of initial value problems for nonlinear integral-differential equations of mixed type for some class in Banach spaces by using the fixed point theorem of \textit{H. Mönch} [Nonlinear Anal., Theory Methods Appl. 4, 985--999 (1980; Zbl 0462.34041)].
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    nonlinear integral-differential equation of mixed types
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    measure of non-compactness
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    global solution
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    Banach space
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    initial value problems
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