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Bifurcation of singular points of differential-functional equations

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Literature cited

  1. J. Hale, Theory of Functional-Differential Equations [Russian translation], Mir, Moscow (1984).

    Google Scholar 

  2. V. I. Fodchuk, “Integral manifolds for nonlinear differential equations with retarded argument,” Ukr. Mat. Zh.,21, No. 5, 627–639 (1969).

    Google Scholar 

  3. V. I. Fodchuk and I. I. Klevchuk, “Integral sets and the reduction principle for differential-functional equations,” Ukr. Mat. Zh.,34, No. 3, 334–340 (1982).

    Google Scholar 

  4. S. N. Chow and J. K. Hale, Methods of Bifurcation Theory, Springer-Verlag, Berlin (1982).

    Google Scholar 

  5. J. Joss and D. Joseph, Elementary Theory of Stability and Bifurcation [Russian translation], Mir, Moscow (1983).

    Google Scholar 

  6. I. G. Malkin, Theory of Stability of Motion [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  7. N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  8. V. A. Pliss, Integral Sets of Periodic Systems of Differential Equations [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  9. V. I. Arnol'd, Supplementary Chapters of the Theory of Ordinary Differential Equations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  10. S. N. Chow and J. Mallet-Paret, “Integral averaging and bifurcation,” J. Different. Equat.,26, No. 1, 112–159 (1977).

    Google Scholar 

  11. Yu. S. Kolesov, “Amplitude method of construction of multifrequency oscillations of nonlinear systems with lag,” Differents. Uravn.,17, No. 9, 1596–1602 (1981).

    Google Scholar 

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Authors and Affiliations

  1. Chernovits University, USSR

    I. I. Klevchuk & V. I. Fodchuk

Authors
  1. I. I. Klevchuk
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  2. V. I. Fodchuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 38, No. 3, pp. 324–330, May–June, 1986.

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Klevchuk, I.I., Fodchuk, V.I. Bifurcation of singular points of differential-functional equations. Ukr Math J 38, 281–286 (1986). https://doi.org/10.1007/BF01056824

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  • DOI: https://doi.org/10.1007/BF01056824

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