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

Daniela Marian, Sorina Anamaria Ciplea and Nicolaie Lungu
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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

Mathematics, 2022, vol. 10, issue 13, 1-9

Abstract: 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.

Keywords: system of hyperbolic partial differential equations; Hyers–Ulam stability; Gronwall’s lemma; Perov’s theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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