Ulam-Hyers stability of a parabolic partial differential equation-Reference-Cited by-同舟云学术

Ulam-Hyers stability of a parabolic partial differential equation

Published:2019-01-01 Issue:1 Volume:52 Page:475-481
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Marian Daniela¹,Ciplea Sorina Anamaria²,Lungu Nicolaie¹

Affiliation:

1. Technical University of Cluj-Napoca , Department of Mathematics , 28 Memorandumului Street, 400114 , Cluj-Napoca , Romania

2. Technical University of Cluj-Napoca , Department of Management and Technology , 28 Memorandumului Street, 400114 , Cluj-Napoca , Romania

Abstract

Abstract The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability. Some examples are given, one of them being the Black-Scholes equation.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2019-0040/pdf

Reference32 articles.

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3. [3] Alsina C., Ger R., On some inequalities and stability results related to exponential function, J. Inequal. Appl., 1998, 2, 373–380

4. [4] Cimpean D. S., Popa D., Hyers-Ulam stability of Euler’s equations, Appl. Math. Lett., 2011, 24, 1539–1543

5. [5] Cimpean D. S., Popa D., On the stability of the linear differential equation of higher order with constant coefficients, Appl. Math. Comput., 2010, 217, 4141–4146

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