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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021 Volume 199, Pages 3–6 (Mi into884)

This article is cited in 2 papers

On the existence of a positive solution to a boundary-value problem for a second-order nonlinear ordinary differential equation

G. E. Abduragimov

Daghestan State University, Makhachkala

Abstract: 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.

Keywords: positive solution, boundary-value problem, cone, Green’s function.

UDC: 517.927.4

MSC: 34K10

DOI: 10.36535/0233-6723-2021-199-3-6



© Steklov Math. Inst. of RAS, 2024