SINGULAR BOUNDARY VALUE PROBLEMS ON TIME SCALES WITH ITERATIVE TERMS

Krishna, M. V. Rama; VALI, Shaik Kalesha; Mahammad, Khuddush

doi:10.22034/cmde.2025.64383.2919

SINGULAR BOUNDARY VALUE PROBLEMS ON TIME SCALES WITH ITERATIVE TERMS

Articles in Press

Document Type : Research Paper

Authors

¹ Department of Mathematics, Government Degree College, Sabbavaram, Anakapalli, 531035, India.

² Department of Mathematics, JNTU Vizianagaram, 535003, India.

³ Applied Nonlinear Science Lab (ANSL), Anand International College of Engineering, Jaipur–303012, India.

10.22034/cmde.2025.64383.2919

Abstract

This paper investigates the existence of multiple positive solutions for a class of singular two-point boundary value problems defined on time scales. Utilizing Holder’s inequality together with Krasnoselskii’s fixed point theorem in the context of a Banach space, we establish new sufficient conditions that guarantee the existence of countably infinite positive solutions. To demonstrate the practical applicability of our theoretical findings, we provide a concrete example that illustrates the effectiveness of the proposed approach.

Keywords