Cubo (Apr 2022)

Infinitely many positive solutions for an iterative system of singular BVP on time scales

  • K. Rajendra Prasad,
  • Mahammad Khuddush,
  • K. V. Vidyasagar

DOI
https://doi.org/10.4067/S0719-06462022000100021
Journal volume & issue
Vol. 24, no. 1
pp. 21 – 35

Abstract

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In this paper, we consider an iterative system of singular two-point boundary value problems on time scales. By applying Hölder’s inequality and Krasnoselskii’s cone fixed point theorem in a Banach space, we derive sufficient conditions for the existence of infinitely many positive solutions. Finally, we provide an example to check the validity of our obtained results.

Keywords