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 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 
@article{KJM_2023_47_3_a2,
     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 },
     publisher = {mathdoc},
     volume = {47},
     number = {3},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2023_47_3_a2/}
}
TY  - JOUR
AU  - K. R. Prasad
AU  - Mahammad Khuddush
AU  - K. V. Vidyasagar
TI  - Denumerably many Positive Solutions for Iterative System of Boundary Value Problems with $\textbfN$-Singularities on Time Scales
JO  - Kragujevac Journal of Mathematics
PY  - 2023
SP  - 369 
VL  - 47
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2023_47_3_a2/
LA  - en
ID  - KJM_2023_47_3_a2
ER  - 
%0 Journal Article
%A K. R. Prasad
%A Mahammad Khuddush
%A K. V. Vidyasagar
%T Denumerably many Positive Solutions for Iterative System of Boundary Value Problems with $\textbfN$-Singularities on Time Scales
%J Kragujevac Journal of Mathematics
%D 2023
%P 369 
%V 47
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2023_47_3_a2/
%G en
%F KJM_2023_47_3_a2
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/