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Zaitsev V F, Polyanin A D, Hand-Book on Ordinary Differential Equations, M, Fizmatlit, 2001, 576 pp.

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Article

Analytical Solution of Homogeneous Damped Mathieu Equation

1Heat-Mass Transfer Institute of National Academy of Sciences of RB, Brovka Str., 15, Minsk, RB

2M.V.Lomonosov Moscow State University, Moscow

3Belarusian State University, Nezavisimosti Avenue 4, Minsk, RB


International Journal of Physics. 2014, Vol. 2 No. 5, 165-169
DOI: 10.12691/ijp-2-5-6
Copyright © 2014 Science and Education Publishing

Cite this paper:
Dmitri Yerchuck, Alla Dovlatova, Yauhen Yerchak, Felix Borovik. Analytical Solution of Homogeneous Damped Mathieu Equation. International Journal of Physics. 2014; 2(5):165-169. doi: 10.12691/ijp-2-5-6.

Correspondence to: Dmitri  Yerchuck, Heat-Mass Transfer Institute of National Academy of Sciences of RB, Brovka Str., 15, Minsk, RB. Email: dpy@tut.by

Abstract

The general solution of the homogeneous damped Mathieu equation in the analytical form, allowing its practical using in many applications, including superconductivity studies, without numerical calculations has been found.

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