Analysis of Perturbed Volterra Integral Equations on Time Scales

Eleonora Messina; Youssef N. Raffoul; Antonia Vecchio

doi:10.3390/math8071133

Mathematics (Jul 2020)

Analysis of Perturbed Volterra Integral Equations on Time Scales

Eleonora Messina,
Youssef N. Raffoul,
Antonia Vecchio

Affiliations

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

DOI: https://doi.org/10.3390/math8071133
Journal volume & issue: Vol. 8, no. 7
p. 1133

Abstract

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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.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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