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

  • K. Rajendra Prasad Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India.
  • Mahammad Khuddush Department of Mathematics, Dr. Lankapalli Bullayya College, Resapuvanipalem, Visakhapatnam, 530013, India.
  • K. V. Vidyasagar Department of Mathematics, S. V. L. N. S. Government Degree College, Bheemunipatnam, Bheemili, 531163, India.
Keywords: Iterative system, time scales, singularity, cone, Krasnoselskii’s fixed point theorem, positive solutions

Abstract

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.

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Published
2022-04-04
How to Cite
[1]
K. R. Prasad, M. Khuddush, and K. V. Vidyasagar, “Infinitely many positive solutions for an iterative system of singular BVP on time scales”, CUBO, vol. 24, no. 1, pp. 21–35, Apr. 2022.
Section
Articles