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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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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     author = {K. R. Prasad and Mahammad Khuddush and K. V. Vidyasagar},
     title = {Denumerably many {Positive} {Solutions} for {Iterative} {System} of {Boundary} {Value} {Problems} with $\textbfN${-Singularities} on {Time} {Scales}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {369 },
     year = {2023},
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     language = {en},
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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/