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

K. R. Prasad, Mahammad Khuddush, K. V. Vidyasagar

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 H$\ddot{o}$lder'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.