Positive solution of two-point boundary problem for nonlinear ODE of the fourth order and numerical method of its construction
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2010), pp. 5-12

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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.
Mots-clés : existence, positive solution.
Keywords: uniqueness, nonlinear differential equation, boundary problem
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     author = {E. I. Abduragimov},
     title = {Positive solution of two-point boundary problem for nonlinear {ODE} of the fourth order and numerical method of its construction},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {5--12},
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     number = {2},
     year = {2010},
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     url = {http://geodesic.mathdoc.fr/item/VSGU_2010_2_a0/}
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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 universiteta. Estestvennonaučnaâ seriâ, no. 2 (2010), pp. 5-12. http://geodesic.mathdoc.fr/item/VSGU_2010_2_a0/