I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1997, VOLUME 3, NUMBER 3, PAGES 903-923
A. Yu. Plakhov
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In the paper the differential equation obtained by
V. A. Marchenko and L. A. Pastur  is
examined which describes spectral distribution in some ensembles of
large random matrices.
The solution of this equation is explicitly found, as well as the rule
proposed in  for finding out intervals on real axis
complement to spectrum is proven.
The methods of V. A. Marchenko and L. A. Pastur
are applied in the neural networks theory for studying evolution of
spectrum of interneuron connection matrix describing REM sleep.
Asymptotic behavior of spectrum is investigated; it is proven to
differ qualitatively in cases where a parameter
All articles are published in Russian.
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