K. R. Prasad, B. Sravani, N. Sreedhar, “Countably many positive solutions for iterative system of boundary value problems on time scales”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, Number 10,Pages <nobr>61

Countably many positive solutions for iterative system of boundary value problems on time scales

K. R. Prasad^a, B. Sravani^a, N. Sreedhar^b

^a Andhra University, Visakhapatnam, 530003 India
^b GITAM (Deemed to be University), Visakhapatnam, 530045 India

Abstract: This paper establishes the existence of countably many positive solutions for a second order iterative system of two-point boundary value problems by using Hölder's inequality and Guo–Krasnoselskii's fixed point theorem for operator on a cone.

Keywords: iterative system, time scale, Green's function, singularity, cone, positive solution.

UDC: 517

Received: 23.11.2023
Revised: 26.01.2024
Accepted: 20.03.2024

DOI: 10.26907/0021-3446-2024-10-61-76