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

Daniela Marian; Sorina Anamaria Ciplea; Nicolaie Lungu

doi:10.3390/math10132183

Mathematics (Jun 2022)

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

Daniela Marian,
Sorina Anamaria Ciplea,
Nicolaie Lungu

Affiliations

Daniela Marian: Department of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania
Sorina Anamaria Ciplea: Department of Management and Technology, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania
Nicolaie Lungu: Department of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania

DOI: https://doi.org/10.3390/math10132183
Journal volume & issue: Vol. 10, no. 13
p. 2183

Abstract

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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.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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