Asymptotic behavior of solutions to nonlinear Volterra integral equations (Q1074055)

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scientific article; zbMATH DE number 3946874
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Asymptotic behavior of solutions to nonlinear Volterra integral equations
scientific article; zbMATH DE number 3946874

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    Asymptotic behavior of solutions to nonlinear Volterra integral equations (English)
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    1984
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    Die Autoren untersuchen das asymptotische Verhalten für \(t\to \infty\) von Lösungen der nichtlinearen Volterra-Integralgleichung \[ \quad u(t)+\int^{t}_{0}b(t-s)Au(s)ds\ni F(t),\quad t\geq 0, \] wobei A ein abgeschlossener nichtlinearer akkretiver Operator in einem Banachraum ist.
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    asymptotic behavior
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    nonlinear Volterra integral equation
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    closed
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    nonlinear accretive operator
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    Banach space
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    convolution
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    mean
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    ergodic theorems
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    Hilbert space
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    convergence
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