Nonlinear Volterra Integrodifferential Equations from above on Unbounded Time Scales

Mathematics 2023
Andrejs Reinfelds, Shraddha Ramanbhai Christian

The paper is devoted to studying the existence, uniqueness and certain growth rates of solutions with certain implicit Volterra-type integrodifferential equations on unbounded from above time scales. We consider the case where the integrand is estimated by the Lipschitz type function with respect to the unknown variable. Lipschitz coefficient is an unbounded rd-function and the Banach fixed-point theorem at a functional space endowed with a suitable Bielecki-type norm.

Keywords
Volterra integrodifferential equations; time scales; Banach fixed-point theorem; existence and uniqueness of solutions.
DOI
10.3390/math11071760
Hyperlink
https://www.mdpi.com/2227-7390/11/7/1760

Reinfelds, A., Christian, S. Nonlinear Volterra Integrodifferential Equations from above on Unbounded Time Scales. Mathematics, 2023, Vol. 11, No. 7, Article number 1760. e-ISSN 2227-7390. Pieejams: doi:10.3390/math11071760

Publication language
English (en)