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Nonlinear Volterra Integrodifferential Equations from above on Unbounded Time Scales

Author

Listed:
  • Andrejs Reinfelds

    (Institute of Mathematics and Computer Science, LV 1459 Riga, Latvia)

  • Shraddha Christian

    (Institute of Applied Mathematics, Riga Technical University, LV 1048 Riga Latvia)

Abstract

The paper is devoted to studying the existence, uniqueness and certain growth rates of solutions with certain implicit Volterra-type integrodifferential equations on unbounded from above time scales. We consider the case where the integrand is estimated by the Lipschitz type function with respect to the unknown variable. Lipschitz coefficient is an unbounded rd-function and the Banach fixed-point theorem at a functional space endowed with a suitable Bielecki-type norm.

Suggested Citation

  • Andrejs Reinfelds & Shraddha Christian, 2023. "Nonlinear Volterra Integrodifferential Equations from above on Unbounded Time Scales," Mathematics, MDPI, vol. 11(7), pages 1-7, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1760-:d:1117778
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    Cited by:

    1. 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.

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