Geodesic
On the existence of a positive solution to a boundary-value problem for a second-order nonlinear ordinary differential equation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 20 International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", Saratov, January 28 — February 1, 2020. Part 1, Tome 199 (2021), pp. 3-6

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In this paper, we consider a boundary-value problem for a nonlinear, second-order, ordinary differential equation. Applying special topological methods, we obtain sufficient conditions for the existence of a positive solution of the problem. An example is presented.
Mots-clés : positive solution
Keywords: boundary-value problem, cone, Green’s function. 
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     title = {On the existence of a positive solution to a boundary-value problem for a second-order nonlinear ordinary differential equation},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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G. E. Abduragimov. On the existence of a positive solution to a boundary-value problem for a second-order nonlinear ordinary differential equation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 20 International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", Saratov, January 28 — February 1, 2020. Part 1, Tome 199 (2021), pp. 3-6. http://geodesic.mathdoc.fr/item/INTO_2021_199_a0/