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Periodic solutions of ordinary differential equations of first order that are not solved with respect to the derivative

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Literature cited

  1. 1.

    A. M. Samoilenko, “A numerical analytic method of investigation of periodic systems of ordinary differential equations. I,” Ukr. Mat. Zh.,17, No. 4, 82–93 (1965).

  2. 2.

    A. M. Samoilenko, “A numerical analytic method of investigation of periodic systems of ordinary differential equations. II,” Ukr. Mat. Zh.,18, No. 2, 50–59 (1966).

  3. 3.

    A. M. Samoilenko and N. I. Ronto, Numerical Analytic Methods of Investigation of Periodic Solutions [in Russian], Vishcha Shkola, Kiev (1976).

  4. 4.

    N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Fizmatgiz, Moscow (1963).

  5. 5.

    Yu. D. Shlapak, “On periodic solutions of nonlinear equations of second order that are not solved with respect to the highest derivative,” Ukr. Mat. Zh.,26, No. 6, 850–854 (1974).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 32, No. 5, pp. 638–644, September–October, 1980.

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Shlapak, Y.D. Periodic solutions of ordinary differential equations of first order that are not solved with respect to the derivative. Ukr Math J 32, 420–425 (1980). https://doi.org/10.1007/BF01091566

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Keywords

  • Differential Equation
  • Ordinary Differential Equation
  • Periodic Solution