Geodesic
On the existence and uniqueness of a positive solution to a boundary-value problem of the Sturm--Liouville type for a nonlinear ordinary differential equation
Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 69 (2023) no. 2, pp. 201-207

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Using the fixed point theorem in partially ordered sets, we obtain sufficient conditions for the existence of a unique positive solution to a boundary-value problem of the Sturm–Liouville type for a nonlinear ordinary differential equation, and give an example illustrating the results obtained.
Keywords: cone, operator fixed point, Green's function.
Mots-clés : positive solution 
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     title = {On the existence and uniqueness of a positive solution to a boundary-value problem of the {Sturm--Liouville} type for a nonlinear ordinary differential equation},
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G. È. Abduragimov; P. È Abduragimova; M. M. Kuramagomedova. On the existence and uniqueness of a positive solution to a boundary-value problem of the Sturm--Liouville type for a nonlinear ordinary differential equation. Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 69 (2023) no. 2, pp. 201-207. http://geodesic.mathdoc.fr/item/CMFD_2023_69_2_a0/