Temur Jangveladze, G. B. Lobjanidze
Abstract
We study a boundary value problem for a fourth-order ordinary differential equation with a nonlocal boundary condition. We give a necessary and sufficient condition for a minimizer of a specially constructed functional to be a solution of the problem.
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We study a boundary value problem for a fourth-order ordinary differential equation with a nonlocal boundary condition. We give a necessary and sufficient condition for a minimizer of a specially constructed functional to be a solution of the problem.
Key concepts: Mathematics, Ordinary differential equation, Boundary value problem, Cauchy boundary condition, Partial differential equation, Free boundary problem, Mathematical analysis, Order (exchange)