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Qualitative properties of solutions of volterra equations in Banach spaces

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Abstract

In this paper we consider an abstract Volterra integral equation in an ordered Banach space. We establish some monotonicity properties of solutions and apply these results to their asymptotic behaviour. This is done by using the method of upper and lower solutions.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, Delft University of Technology, 2600, AJ-Delft, The Netherlands

    Philippe Clément & Enzo Mitidieri

  2. Dipartimento di Scienze Matematiche, Università degli Studi di Trieste, 34100, Trieste, Italy

    Philippe Clément & Enzo Mitidieri

Authors
  1. Philippe Clément
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  2. Enzo Mitidieri
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Clément, P., Mitidieri, E. Qualitative properties of solutions of volterra equations in Banach spaces. Israel J. Math. 64, 1–24 (1988). https://doi.org/10.1007/BF02767365

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  • DOI: https://doi.org/10.1007/BF02767365

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