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Ukrainian Mathematical Journal

, Volume 21, Issue 6, pp 620–629 | Cite as

The construction of the set of initial values of integral curves bounded by a “slit,” using asymptotic methods

  • I. G. Kozubovskaya
Article
  • 17 Downloads

Keywords

Asymptotic Method Integral Curf 
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Literature cited

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    A. A. Sharshanov, “The definition of the region of capture for a system of linear differential equations with periodic coefficients,” Diff. Uravn., 3, No. 4 (1967).Google Scholar
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    A. D. Myshkis and A. A. Sharshanov, “The construction of families of integral lines remaining in a given region,” Diff. Uravn.,3, No. 5 (1967).Google Scholar
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    I. G. Kozubovskaya and A. A. Sharshanov, “Towards a linear theory of cyclotrons for relativistic charged particles in the case of small radiation losses,” Ukrain. Fiz. Zh.,XIII, No. 1 (1968).Google Scholar
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    I. G. Kozubovskaya, A. A. Sharshanov, and V. A. Shendrik, “Some variants in the choice of parameters in the driving and focusing systems of cyclotrons,” Ukrain. Fiz. Zh.,XIII, No. 9 (1968).Google Scholar
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    N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Fizmatgiz (1963).Google Scholar
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    A. D. Myshkis and A. A. Sharshanov, “The construction of the set of initial conditions for integral lines remaining in a half-plane, for linear Hamiltonian systems of two equations with periodic coefficients,” Diff. Uravn.,4, No.3 (1968).Google Scholar
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    N. G. Chebotarev, The Theory of Lie Groups [in Russian], Gostekhizdat (1940).Google Scholar
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    I. G. Kozubovskaya, “The determination of the region of capture defined by a slit in time-phase space, in the case of a nonautonomous system,” Mat. Fiz., No. 7, Naukova Dumka, Kiev.Google Scholar

Copyright information

© Consultants Bureau, a division of Plenum Publishing Corporation 1970

Authors and Affiliations

  • I. G. Kozubovskaya
    • 1
  1. 1.Mathematics InstituteAcademy of Sciences of the Ukrainian SSRKiev

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