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Hyers–Ulam–Rassias Stability of Hermite’s Differential Equation

Author

Listed:
  • Daniela Marian

    (Department of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

  • Sorina Anamaria Ciplea

    (Department of Management and Technology, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

  • Nicolaie Lungu

    (Department of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

Abstract

In this paper, we studied the Hyers–Ulam–Rassias stability of Hermite’s differential equation, using Pachpatte’s inequality. We compared our results with those obtained by Blaga et al. Our estimation for z x − y x , where z is an approximate solution and y is an exact solution of Hermite’s equation, was better than that obtained by the authors previously mentioned, in some parts of the domain, especially in a neighborhood of the origin.

Suggested Citation

  • Daniela Marian & Sorina Anamaria Ciplea & Nicolaie Lungu, 2022. "Hyers–Ulam–Rassias Stability of Hermite’s Differential Equation," Mathematics, MDPI, vol. 10(6), pages 1-7, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:6:p:964-:d:773463
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    References listed on IDEAS

    as
    1. Wang, Xue & Luo, Danfeng & Zhu, Quanxin, 2022. "Ulam-Hyers stability of caputo type fuzzy fractional differential equations with time-delays," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
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