Ulam-Hyers stability of a parabolic partial differential equation

• Autorzy: Marian Daniela , Ciplea Sorina Anamaria , Lungu Nicolaie

Identyfikatory

DOI

10.1515/dema-2019-0040

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

parabolic partial differential equations; Ulam-Hyers stability; generalized Ulam–Hyers–Rassias stability; integral inequality; Gronwall lemma; Black-Scholes equation

PL

paraboliczne cząstkowe równanie różniczkowe; stabilność Ulama-Hyersa; uogólniona stabilność Ulama-Hyersa-Rassiasa; nierówności całkowe; lemat Gronwalla; równanie Blacka-Scholesa

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2019
• Tom: Vol. 52, nr 1
• Strony: 475--481
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Marian Daniela

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

autor

Ciplea Sorina Anamaria

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

autor

Lungu Nicolaie

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

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).