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Application of the method of differential inequalities for the justification of the asymptotic of solution of a system of two ordinary differential equations in the form of step type contrasting structure.

N.T. Levashova, E.S. Petrovskaya

Memoirs of the Faculty of Physics 2014. N 3.

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Annotation

An asymptotic expansion of the solution of a boundary value problem for a system of two ordinary differential equations in the form of step-type contrasting structures was built. Using the method of differential inequalities, was proved the existence of the considered problems of decisions of this type, for which the built decomposition is constructed asymptotic approximation.

Received: 2013 December 11
Approved: 2014 July 28
PACS:
02.00.00 Mathematical methods in physics
Authors
N.T. Levashova, E.S. Petrovskaya
Natalia Timurovna Levashova, M.V.Lomonosov Moscow State University, Faculty of Physics, Russia, 119991, Moscow, GSP-1, 1-2 Leninskiye Gory Eugenia Stanislavovna Petrovskaya, M.V.Lomonosov Moscow State University, Faculty of Physics, Russia, 119991, Moscow, GSP-1, 1-2 Leninskiye Gory
Issue 3, 2014

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