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Semi-Hyers–Ulam–Rassias Stability via Laplace Transform, for an Integro-Differential Equation of the Second Order

Author

Listed:
  • Daniela Inoan

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

  • Daniela Marian

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

Abstract

The Laplace transform method is applied to study the semi-Hyers–Ulam–Rassias stability of a Volterra integro-differential equation of the second order. A general equation is formulated first; then, some particular cases for the function from the kernel are considered.

Suggested Citation

  • Daniela Inoan & Daniela Marian, 2022. "Semi-Hyers–Ulam–Rassias Stability via Laplace Transform, for an Integro-Differential Equation of the Second Order," Mathematics, MDPI, vol. 10(11), pages 1-11, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1893-:d:829862
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    References listed on IDEAS

    as
    1. 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.
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    Cited by:

    1. Qiong Huang & Omid Nikan & Zakieh Avazzadeh, 2022. "Numerical Analysis of Alternating Direction Implicit Orthogonal Spline Collocation Scheme for the Hyperbolic Integrodifferential Equation with a Weakly Singular Kernel," Mathematics, MDPI, vol. 10(18), pages 1-18, September.

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