Nonlinear Volterra Integrodifferential Equations from above on Unbounded Time Scales

Andrejs Reinfelds and Shraddha Christian
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Andrejs Reinfelds: Institute of Mathematics and Computer Science, LV 1459 Riga, Latvia
Shraddha Christian: Institute of Applied Mathematics, Riga Technical University, LV 1048 Riga Latvia

Mathematics, 2023, vol. 11, issue 7, 1-7

Abstract: 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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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