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Symmetry
Volume 13
Issue 11
10.3390/sym13112181
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Article

Semi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform

by
Daniela Inoan
† and
Daniela Marian
*,†
Department of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Symmetry 2021, 13(11), 2181; https://doi.org/10.3390/sym13112181
Submission received: 28 October 2021 / Revised: 10 November 2021 / Accepted: 12 November 2021 / Published: 15 November 2021
(This article belongs to the Special Issue Various Approaches for Generalized Integral Transforms)
Versions Notes

Abstract

In this paper, we investigate the semi-Hyers–Ulam–Rassias stability of a Volterra integro-differential equation of order I with a convolution type kernel. To this purpose the Laplace transform is used. The results obtained show that the stability holds for problems formulated with various functions: exponential and polynomial functions. An important aspect that appears in the form of the studied equation is the symmetry of the convolution product.
Keywords: Laplace transform; semi-Hyers–Ulam–Rassias stability Laplace transform; semi-Hyers–Ulam–Rassias stability

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MDPI and ACS Style

Inoan, D.; Marian, D. Semi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform. Symmetry 2021, 13, 2181. https://doi.org/10.3390/sym13112181

AMA Style

Inoan D, Marian D. Semi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform. Symmetry. 2021; 13(11):2181. https://doi.org/10.3390/sym13112181

Chicago/Turabian Style

Inoan, Daniela, and Daniela Marian. 2021. "Semi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform" Symmetry 13, no. 11: 2181. https://doi.org/10.3390/sym13112181

APA Style

Inoan, D., & Marian, D. (2021). Semi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform. Symmetry, 13(11), 2181. https://doi.org/10.3390/sym13112181

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