Construction of approximate solution and stability map of one set of differential equations with periodic coefficients, which can be reduced to canonical form

V.M. Shevchenko (Dnipropetrovsk State University)
V.O. Semenov (Dnipropetrovsk State University)

Abstract


We construct the approximate solution and stability map of one set of differential equations with periodic coefficients.

References


Bogoliubov N.N., Mitropolskii Yu.A. Asymptotic methods in theory of nonlinear oscillations, Fizmatgiz, 1963. (in Russian)

Goroshko O.A., Shevchenko V.M. "Construction of the algorithm for approximate solution of equations with variable coefficients, which is based on correction compensation scheme", In: Asymp. and qualit. methods in theory of nonlin. oscill., IM AN SSSR, 1971. (in Russian)

Kanningkhem V. Introduction to Nonlinear Systems Theory, Gosenergoizdat, 1962. (in Russian)

Shevchenko V.M. "On first approximation of solution of the equation with periodic coefficients, constructed by correction compensation scheme", In: Asymp. and qualit. methods in theory of nonlin. oscill., IM AN SSSR, 1971. (in Russian)




DOI: https://doi.org/10.15421/247735

  

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Copyright (c) 1977 V.M. Shevchenko, V.O. Semenov

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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