Hyers–Ulam Stability of a System of Hyperbolic Partial Differential Equations

In this paper, we study Hyers–Ulam and generalized Hyers–Ulam–Rassias stability of a system of hyperbolic partial differential equations using Gronwall’s lemma and Perov’s theorem.

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 10; no. 13; p. 2183
Main Authors: Marian, Daniela, Ciplea, Sorina Anamaria, Lungu, Nicolaie
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.07.2022
Subjects:
Differential equations
Gronwall’s lemma
Hyers–Ulam stability
Mathematical analysis
Mathematics
Partial differential equations
Perov’s theorem
Stability
system of hyperbolic partial differential equations
ISSN:2227-7390, 2227-7390
Online Access:Get full text
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Summary:In this paper, we study Hyers–Ulam and generalized Hyers–Ulam–Rassias stability of a system of hyperbolic partial differential equations using Gronwall’s lemma and Perov’s theorem.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math10132183