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

1
Department of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania
2
Department of Management and Technology, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2020, 12(7), 1060; https://doi.org/10.3390/sym12071060
Received: 3 June 2020 / Revised: 16 June 2020 / Accepted: 23 June 2020 / Published: 27 June 2020
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. View Full-Text
Keywords: system of partial differential equations; generalized Ulam–Hyers stability; generalized Ulam–Hyers–Rassias stability system of partial differential equations; generalized Ulam–Hyers stability; generalized Ulam–Hyers–Rassias stability
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Marian, D.; Ciplea, S.A.; Lungu, N. On Ulam–Hyers Stability for a System of Partial Differential Equations of First Order. Symmetry 2020, 12, 1060.

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