New Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential Equations

In this work, we present sufficient conditions in order to establish different types of Ulam stabilities for a class of higher order integro-differential equations. In particular, we consider a new kind of stability, the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML&q...

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Autores principales:	Alberto M. Simões, Fernando Carapau, Paulo Correia
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	Hyers–Ulam stability Hyers–Ulam–Rassias stability Banach fixed point theorem Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/59b1e2a218684a80ac322c1f1702be26
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spelling	oai:doaj.org-article:59b1e2a218684a80ac322c1f1702be262021-11-25T19:06:28ZNew Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential Equations10.3390/sym131120682073-8994https://doaj.org/article/59b1e2a218684a80ac322c1f1702be262021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2068https://doaj.org/toc/2073-8994In this work, we present sufficient conditions in order to establish different types of Ulam stabilities for a class of higher order integro-differential equations. In particular, we consider a new kind of stability, the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula>-semi-Hyers-Ulam stability, which is in some sense between the Hyers–Ulam and the Hyers–Ulam–Rassias stabilities. These new sufficient conditions result from the application of the Banach Fixed Point Theorem, and by applying a specific generalization of the Bielecki metric.Alberto M. SimõesFernando CarapauPaulo CorreiaMDPI AGarticleHyers–Ulam stabilityHyers–Ulam–Rassias stabilityBanach fixed point theoremMathematicsQA1-939ENSymmetry, Vol 13, Iss 2068, p 2068 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Hyers–Ulam stability Hyers–Ulam–Rassias stability Banach fixed point theorem Mathematics QA1-939
spellingShingle	Hyers–Ulam stability Hyers–Ulam–Rassias stability Banach fixed point theorem Mathematics QA1-939 Alberto M. Simões Fernando Carapau Paulo Correia New Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential Equations
description	In this work, we present sufficient conditions in order to establish different types of Ulam stabilities for a class of higher order integro-differential equations. In particular, we consider a new kind of stability, the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>σ</mi></semantics></math></inline-formula>-semi-Hyers-Ulam stability, which is in some sense between the Hyers–Ulam and the Hyers–Ulam–Rassias stabilities. These new sufficient conditions result from the application of the Banach Fixed Point Theorem, and by applying a specific generalization of the Bielecki metric.
format	article
author	Alberto M. Simões Fernando Carapau Paulo Correia
author_facet	Alberto M. Simões Fernando Carapau Paulo Correia
author_sort	Alberto M. Simões
title	New Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential Equations
title_short	New Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential Equations
title_full	New Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential Equations
title_fullStr	New Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential Equations
title_full_unstemmed	New Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential Equations
title_sort	new sufficient conditions to ulam stabilities for a class of higher order integro-differential equations
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/59b1e2a218684a80ac322c1f1702be26
work_keys_str_mv	AT albertomsimoes newsufficientconditionstoulamstabilitiesforaclassofhigherorderintegrodifferentialequations AT fernandocarapau newsufficientconditionstoulamstabilitiesforaclassofhigherorderintegrodifferentialequations AT paulocorreia newsufficientconditionstoulamstabilitiesforaclassofhigherorderintegrodifferentialequations
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New Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential Equations

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