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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2009 Volume 49, Number 12, Pages 2144–2155 (Mi zvmmf4795)

This article is cited in 2 papers

Asymptotic analysis of certain systems of linear differential equations with a large parameter

E. V. Krutenkoa, V. B. Levenshtamab

a Faculty of Mathematics, Southern Federal University, ul. Mil'chakova 8a, Rostov-on-Don, 344090, Russia
b Southern Mathematical Institute, Vladikavkaz Research Center, Russian Academy of Sciences and the Government of the Republic of North Ossetia-Alania, ul. Markusa 22, Vladikavkaz, 362027, Republic of North Ossetia-Alania, Russia

Abstract: Two classes of systems of linear ordinary differential equations containing high-frequency terms proportional to certain positive powers of the oscillation frequency are considered. Complete asymptotic expansions of fundamental systems of solutions are constructed and substantiated.

Key words: systems of linear differential equations with a large parameter, construction and substantiation of complete asymptotic expansions of solutions.

UDC: 519.624.2

Received: 02.04.2009


 English version:
Computational Mathematics and Mathematical Physics, 2009, 49:12, 2047–2058

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