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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Daniela Marian & Sorina Anamaria Ciplea & Nicolaie Lungu, 2022. "Hyers–Ulam Stability of a System of Hyperbolic Partial Differential Equations," Mathematics, MDPI, vol. 10(13), pages 1-9, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2183-:d:845607
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    References listed on IDEAS

    as
    1. Yongjin Li & Yan Shen, 2009. "Hyers-Ulam Stability of Nonhomogeneous Linear Differential Equations of Second Order," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-7, October.
    2. Daniela Marian, 2021. "Semi-Hyers–Ulam–Rassias Stability of the Convection Partial Differential Equation via Laplace Transform," Mathematics, MDPI, vol. 9(22), pages 1-9, November.
    Full references (including those not matched with items on IDEAS)

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