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Hyers–Ulam–Rassias Stability of Nonlinear Implicit Higher-Order Volterra Integrodifferential Equations from above on Unbounded Time Scales

Author

Listed:
  • Andrejs Reinfelds

    (Institute of Mathematics and Computer Science, LV 1459 Riga, Latvia
    These authors contributed equally to this work.)

  • Shraddha Christian

    (Institute of Applied Mathematics, Riga Technical University, LV 1048 Riga, Latvia
    These authors contributed equally to this work.)

Abstract

In this paper, we present sufficient conditions for Hyers-Ulam-Rassias stability of nonlinear implicit higher-order Volterra-type integrodifferential equations from above on unbounded time scales. These new sufficient conditions result by reducing Volterra-type integrodifferential equations to Volterra-type integral equations, using the Banach fixed point theorem, and by applying an appropriate Bielecki type norm, the Lipschitz type functions, where Lipschitz coefficient is replaced by unbounded rd-continuous function.

Suggested Citation

  • Andrejs Reinfelds & Shraddha Christian, 2024. "Hyers–Ulam–Rassias Stability of Nonlinear Implicit Higher-Order Volterra Integrodifferential Equations from above on Unbounded Time Scales," Mathematics, MDPI, vol. 12(9), pages 1-10, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1379-:d:1387093
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