eng Science and Education Publishing International Journal of Physics 2333-4886 2014-10-15 2 5 165 169 10.12691/ijp-2-5-6 IJP2014256 article Dmitri Yerchuck dpy@tut.by 1 Alla Dovlatova 2 Yauhen Yerchak 3 Felix Borovik 3 Heat-Mass Transfer Institute of National Academy of Sciences of RB, Brovka Str., 15, Minsk, RB M.V.Lomonosov Moscow State University, Moscow Belarusian State University, Nezavisimosti Avenue 4, Minsk, RB 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. http://pubs.sciepub.com/ijp/2/5/6/ijp-2-5-6.pdf Mathieu equation Bessel functions superconductivity