Analysis of Perturbed Volterra Integral Equations on Time Scales

Eleonora Messina, Youssef N. Raffoul and Antonia Vecchio
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Eleonora Messina: Department of Mathematics and Applications, University of Naples Federico II, Via Cintia, I-80126 Napoli, Italy
Youssef N. Raffoul: Department of Mathematics, University of Dayton, Dayton, OH 45469-2316, USA
Antonia Vecchio: Gruppo Nazionale per il Calcolo Scientifico-Istituto Nazionale di Alta Matematica, 00185 Roma, Italy

Mathematics, 2020, vol. 8, issue 7, 1-12

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.

Keywords: Volterra integral equations; perturbation; stability; time scales (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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