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

Andrejs Reinfelds () and Shraddha Christian ()
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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

Mathematics, 2024, vol. 12, issue 9, 1-10

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.

Keywords: Volterra integrodifferential equations; time scales; Hyers–Ulam–Rassias stability; existence; uniqueness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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