Kragujevac Journal of Mathematics
University of Kragujevac - Faculty of Science

Denumerably many Positive Solutions for Iterative System of Boundary Value Problems with N-Singularities on Time Scales

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Authors: K. R. PRASAD, M. KHUDDUSH AND K. V. VIDYASAGAR

DOI: 10.46793/KgJMat2303.369P

Abstract:

In this paper we consider a iterative system of two-point boundary value problems with integral boundary conditions having n singularities and involve an increasing homeomorphism, positive homomorphism operator. By applying Hölder’s inequality and Krasnoselskii’s cone fixed point theorem in a Banach space, we derive sufficient conditions for the existence of denumerably many positive solutions. Finally we provide an example to check validity of our obtained results.

Keywords:

Iterative system, time scale, singularity, homeomorphism, homomorphism, cone, Krasnoselskii’s fixed point theorem, positive solutions.

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