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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2010, Issue 2(76), Pages 5–12
(Mi vsgu143)
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This article is cited in 4 scientific papers (total 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
(published under the terms of the Creative Commons Attribution 4.0 International License)
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.
Received: 24.06.2009 Revised: 24.06.2009
Citation:
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, no. 2(76), 5–12
Linking options:
https://www.mathnet.ru/eng/vsgu143 https://www.mathnet.ru/eng/vsgu/y2010/i2/p5
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| Abstract page: | 218 | | Full-text PDF : | 110 | | References: | 56 | | First page: | 1 |
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