Hyers–Ulam–Rassias Stability of Nonlinear Implicit Higher-Order Volterra Integrodifferential Equations from above on Unbounded Time Scales-Reference-Cited by-同舟云学术

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

Published:2024-04-30 Issue:9 Volume:12 Page:1379
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Reinfelds Andrejs¹^ORCID,Christian Shraddha²^ORCID

Affiliation:

1. Institute of Mathematics and Computer Science, LV 1459 Riga, Latvia

2. Institute of Applied Mathematics, Riga Technical University, LV 1048 Riga, Latvia

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.

Funder

Institute of Mathematics and Computer Science University of Latvia

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/9/1379/pdf

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