Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales

2020
Andrejs Reinfelds, Shraddha Ramanbhai Christian

We study Hyers-Ulam stability of a nonlinear Volterra integral equation on unbounded time scales. Sufficient conditions are obtained based on the Banach fixed point theorem and Bielecki type norm

Keywords
Volterra integral equation, Hyers-Ulam stability, time scales
DOI
10.1007/978-3-030-56323-3_10
Hyperlink
https://link.springer.com/chapter/10.1007/978-3-030-56323-3_10

Reinfelds, A., Christian, S. Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales. In: Differential and Difference Equations with Applications (ICDDEA 2019). Springer Proceedings in Mathematics & Statistics. Vol 333. S.Pinelas, J.Graef, S.Hilger, P.Kloeden, C.Schinas ed. Cham: Springer, 2020. pp.123-131. ISBN 978-3-030-56322-6. e-ISBN 978-3-030-56323-3. ISSN 2194-1009. e-ISSN 2194-1017. Available from: doi:10.1007/978-3-030-56323-3_10

Publication language
English (en)