Geodesic
Denumerably many Positive Solutions for Iterative System of Boundary Value Problems with $\textbfN$-Singularities on Time Scales
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 3, p. 369

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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.
Classification : 34B18 34N05
Keywords: Iterative system, time scale, singularity, homeomorphism, homomorphism, cone, Krasnoselskii's fixed point theorem, positive solutions 
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K. R. Prasad; Mahammad Khuddush; K. V. Vidyasagar. Denumerably many Positive Solutions for Iterative System of Boundary Value Problems with $\textbfN$-Singularities on Time Scales. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 3, p. 369 . http://geodesic.mathdoc.fr/item/KJM_2023_47_3_a2/