E. I. Abduragimov, “Positive solution of two-point boundary problem for nonlinear ODE of the fourth order and numerical method of its construction”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, Issue 2(76),Pages <nobr>5

This article is cited in 4 papers

Mathematics

Positive solution of two-point boundary problem for nonlinear ODE of the fourth order and numerical method of its construction

E. I. Abduragimov

Dept. of Applied Mathematics, Dagestan State University, Makhachkala, 367025, Russia

Abstract: In the paper the existence and uniqueness of the positive solution for one class of nonlinear differential equations of the fourth order is proved. The numerical noniteration method to its finding is also suggested.

Keywords: existence, uniqueness, nonlinear differential equation, boundary problem, positive solution.

UDC: 519.946

Received: 24.06.2009
Revised: 24.06.2009