Singular boundary value problems on time scales with iterative terms

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

doi:10.22034/cmde.2025.64383.2919

Singular boundary value problems on time scales with iterative terms

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 1. Department of Mathematics, Vignan’s Institute of Information Technology (Autonomous), Visakhapatnam 530049, Andhra Pradesh, India. 2. School of Sciences, Woxsen University, Hyderabad 502345, Telangana, 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 Hölder’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

Main Subjects

Difference and functional equations

References

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