On positive solutions of a two-point boundary value problem for a class of higher-order nonlinear ordinary differential equations

K. Belikova


In this paper a family of two-point boundary value problems is considered for a class of nonlinear ordinary differential equations

We study properties of solutions for the class of equations and prove a theorem on the existence and uniqueness of a positive on (0, 1) solution to such boundary value problems. This solution is presented via a solution of a related initial-value problem.

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