Hyers-Ulam Stability of Volterra Type Integral Equations on Time Scales

Advances in Dynamical Systems and Applications 2020
Andrejs Reinfelds, Shraddha Ramanbhai Christian

In this paper, we study Hyers–Ulam stability of general Volterra type integral equations on unbounded and bounded time scales. We give an existence and uniqueness conditions of the solutions of Volterra type integral equations on time scales using Banach contraction principle, Bie\-lecki type norm, and Lipschitz type functions. Furthermore, it allows to get sufficient conditions for Hyers-Ulam stability

Keywords
Volterra integral equations, Hyers-Ulam stability, time scales
Hyperlink
https://campus.mst.edu/adsa/contents/v15n1p5.pdf

Reinfelds, A., Christian, S. Hyers-Ulam Stability of Volterra Type Integral Equations on Time Scales. Advances in Dynamical Systems and Applications, 2020, Vol. 15, No. 1, pp.39-48. ISSN 0973-5321.

Publication language
English (en)