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Time dependent Desch-Schappacher type perturbations of Volterra integral equations

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Abstract

In this paper, we study time dependent multiplicative perturbations and unbounded additive perturbations of the Volterra integral equations. Some Desch-Schappacher type perturbation theorems, which generalize previous related results, are established by new and concise approaches.

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Author notes

  1. Ti-Jun Xiao & Jin Liang

    Present address: Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076, Tübingen, Germany

Authors and Affiliations

  1. Department of Mathematics, University of Science and Technology of China, 230026, Hefei, Anhui, People's Republic of China

    Ti-Jun Xiao & Jin Liang

  2. Department of Mathematics and Computer Science, University of Antwerp (UIA), Universiteitsplein 1, 2610, Antwerp/Wilrijk, Belgium

    J. Van Casteren

Authors
  1. Ti-Jun Xiao
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  2. Jin Liang
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  3. J. Van Casteren
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Xiao, TJ., Liang, J. & Van Casteren, J. Time dependent Desch-Schappacher type perturbations of Volterra integral equations. Integr equ oper theory 44, 494–506 (2002). https://doi.org/10.1007/BF01193674

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  • DOI: https://doi.org/10.1007/BF01193674

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