On some variation of parameter methods for integrodifferential, integral, and quasilinear partial integrodifferential equations (Q1089871)

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scientific article; zbMATH DE number 4006952
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On some variation of parameter methods for integrodifferential, integral, and quasilinear partial integrodifferential equations
scientific article; zbMATH DE number 4006952

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    On some variation of parameter methods for integrodifferential, integral, and quasilinear partial integrodifferential equations (English)
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    1987
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    The author identifies and corrects certain errors in a nonlinear variation of parameter method proposed by \textit{S. R. Bernfeld} and \textit{M. E. Lord} [ibid. 4, 1-14 (1978; Zbl 0374.45008)]. He then corrects and extends a similar result for a quasilinear integro-partial differential equation, and discusses applications concerning the stability and boundedness of solutions of some systems of integrodifferential and integral equations.
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    nonlinear variation of parameter method
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    quasilinear integro-partial differential equation
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    stability
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    boundedness
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    systems
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