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{\bf\LARGE Abstracts}
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 {\large\bf The Bair's class of extreme characteristic frequency\\ of linear differential equations}\smallskip

 \textit{Sergeev~I.N.}, professor, Mechanics and Mathematics Department of MSU,\\ e-mail: \ igniserg@gmail.com\\
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\begin{small}\begin{quote}
A number of the Lyapunov's characteristics of linear homogeneous
equation solutions is introduced, named theirs frequency and
corresponded to theirs oscillation. Upper-range and lower-range
values of all frequencies of any equation solutions, considered as
a function of its coefficients, are discontinuous and proved to
belong to second Bair's class.
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 {\large\bf Àn application of Dirichlet integral}\smallskip

 \textit{Chubarikov~V.N.}, professor, Mechanics and Mathematics Department of MSU, \\
 e-mail: \ chubarik1@mech.math.msu.su, \ chubarik2009@live.ru
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\begin{small}\begin{quote}
The Fourier transformation with the remainder for discontinuous factor is found and estimation of that remainder Fourier transformation is obtained.
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