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

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:...

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Autores principales:	Daniela Inoan, Daniela Marian
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	Laplace transform semi-Hyers–Ulam–Rassias stability Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/91dabfca830944459949ea2c1e5634f9
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id	oai:doaj.org-article:91dabfca830944459949ea2c1e5634f9
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spelling	oai:doaj.org-article:91dabfca830944459949ea2c1e5634f92021-11-25T19:07:23ZSemi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform10.3390/sym131121812073-8994https://doaj.org/article/91dabfca830944459949ea2c1e5634f92021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2181https://doaj.org/toc/2073-8994In 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.Daniela InoanDaniela MarianMDPI AGarticleLaplace transformsemi-Hyers–Ulam–Rassias stabilityMathematicsQA1-939ENSymmetry, Vol 13, Iss 2181, p 2181 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Laplace transform semi-Hyers–Ulam–Rassias stability Mathematics QA1-939
spellingShingle	Laplace transform semi-Hyers–Ulam–Rassias stability Mathematics QA1-939 Daniela Inoan Daniela Marian Semi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform
description	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.
format	article
author	Daniela Inoan Daniela Marian
author_facet	Daniela Inoan Daniela Marian
author_sort	Daniela Inoan
title	Semi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform
title_short	Semi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform
title_full	Semi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform
title_fullStr	Semi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform
title_full_unstemmed	Semi-Hyers–Ulam–Rassias Stability of a Volterra Integro-Differential Equation of Order I with a Convolution Type Kernel via Laplace Transform
title_sort	semi-hyers–ulam–rassias stability of a volterra integro-differential equation of order i with a convolution type kernel via laplace transform
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/91dabfca830944459949ea2c1e5634f9
work_keys_str_mv	AT danielainoan semihyersulamrassiasstabilityofavolterraintegrodifferentialequationoforderiwithaconvolutiontypekernelvialaplacetransform AT danielamarian semihyersulamrassiasstabilityofavolterraintegrodifferentialequationoforderiwithaconvolutiontypekernelvialaplacetransform
_version_	1718410290914131968

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

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