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Asymptotic analysis of certain systems of linear differential equations with a large parameter |
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| Authors: | E V Krutenko V B Levenshtam |
| Institution: | 1.Faculty of Mathematics,Southern Federal University,Rostov-on-Don,Russia;2.Southern Mathematical Institute, Vladikavkaz Research Center,Russian Academy of Sciences and the Government of the Republic of North Ossetia-Alania,Vladikavkaz,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. |
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