Semi-Hyers–Ulam–Rassias Stability via Laplace Transform, for an Integro-Differential Equation of the Second Order

Daniela Inoan; Daniela Marian

doi:10.3390/math10111893

Mathematics (Jun 2022)

Semi-Hyers–Ulam–Rassias Stability via Laplace Transform, for an Integro-Differential Equation of the Second Order

Daniela Inoan,
Daniela Marian

Affiliations

Daniela Inoan: Department of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania
Daniela Marian: Department of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania

DOI: https://doi.org/10.3390/math10111893
Journal volume & issue: Vol. 10, no. 11
p. 1893

Abstract

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The Laplace transform method is applied to study the semi-Hyers–Ulam–Rassias stability of a Volterra integro-differential equation of the second order. A general equation is formulated first; then, some particular cases for the function from the kernel are considered.

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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