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

Mathematics 2024
Andrejs Reinfelds, Shraddha Ramanbhai Christian

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.

Atslēgas vārdi
Volterra integrodifferential equations; time scales; Hyers-Ulam-Rassias stability; existence; uniqueness
DOI
10.3390/math12091379
Hipersaite
https://www.mdpi.com/journal/mathematics

Reinfelds, A., Christian, S. Hyers–Ulam–Rassias Stability of Nonlinear Implicit Higher-Order Volterra Integrodifferential Equations from above on Unbounded Time Scales. Mathematics, 2024, Vol. 12, No. 9, Article number 1379. e-ISSN 2227-7390. Available from: doi:10.3390/math12091379

Publikācijas valoda
English (en)