On Ulam–Hyers Stability for a System of Partial Differential Equations of First Order

Daniela Marian; Sorina Anamaria Ciplea; Nicolaie Lungu

doi:10.3390/sym12071060

Symmetry (Jun 2020)

On Ulam–Hyers Stability for a System of Partial Differential Equations of First Order

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/sym12071060
Journal volume & issue: Vol. 12, no. 7
p. 1060

Abstract

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The aim of this paper is to investigate generalized Ulam–Hyers stability and generalized Ulam–Hyers–Rassias stability for a system of partial differential equations of first order. More precisely, we consider a system of two nonlinear equations of first order with an unknown function of two independent variables, which satisfy the corresponding compatibility condition. The study method is that of differential inequalities of the Gronwall type.

Published in Symmetry

ISSN: 2073-8994 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/symmetry/

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