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Analysis of Perturbed Volterra Integral Equations on Time Scales

Author

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  • Eleonora Messina

    (Department of Mathematics and Applications, University of Naples Federico II, Via Cintia, I-80126 Napoli, Italy
    Gruppo Nazionale per il Calcolo Scientifico-Istituto Nazionale di Alta Matematica, 00185 Roma, Italy
    These authors contributed equally to this work.)

  • Youssef N. Raffoul

    (Department of Mathematics, University of Dayton, Dayton, OH 45469-2316, USA
    These authors contributed equally to this work.)

  • Antonia Vecchio

    (Gruppo Nazionale per il Calcolo Scientifico-Istituto Nazionale di Alta Matematica, 00185 Roma, Italy
    C.N.R. National Research Council of Italy, Institute for Computational Application “Mauro Picone”, Via P. Castellino, 111-80131 Napoli, Italy
    These authors contributed equally to this work.)

Abstract

This paper describes the effect of perturbation of the kernel on the solutions of linear Volterra integral equations on time scales and proposes a new perspective for the stability analysis of numerical methods.

Suggested Citation

  • Eleonora Messina & Youssef N. Raffoul & Antonia Vecchio, 2020. "Analysis of Perturbed Volterra Integral Equations on Time Scales," Mathematics, MDPI, vol. 8(7), pages 1-12, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1133-:d:382891
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    References listed on IDEAS

    as
    1. Eleonora Messina & Antonia Vecchio, 2015. "Stability and Convergence of Solutions to Volterra Integral Equations on Time Scales," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-6, June.
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