Skip to main content
Log in

Construction of periodic solutions of a nonlinear singularly perturbed system of differential equations with degeneration

  • Ordinary Differential Equations
  • Published:
Differential Equations Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Boyarintsev, Yu.E., Danilov, V.A., Loginov, A.A., and Chistyakov, V.F., Chislennye metody resheniya singulyarnykh sistem (Numerical Methods for Solving Singular Systems), Novosibirsk: Nauka, 1989.

    Google Scholar 

  2. Yakovets, V.P., Asymptotic Integration of Singularly Perturbed Systems of Differential Equations with Degeneration, Doctoral (Phys.-Math.) Dissertation, Kiev, 1992.

  3. Samoilenko, A.M., Shkil’, N.I., and Yakovets, V.P., Lineinye sistemy differentsial’nykh uravnenii s vyrozhdeniyami (Linear Systems of Differential Equations with Degeneration), Kiev: Vyshcha Shkola, 2000.

    Google Scholar 

  4. Shkil’, N.I., Starun, I.I., and Yakovets, V.P., Asimptoticheskoe integrirovanie lineinykh sistem obyknovennykh differentsial’nykh uravnenii (Asymptotic Integration of Linear Systems of Ordinary Differential Equations), Kiev: Vyshcha Shkola, 1989.

    Google Scholar 

  5. Yakovets, V.P. and Akimenko, A.M., Nonlinear Oscil., 2002, vol. 5, no. 1, pp. 123–141.

    MATH  MathSciNet  Google Scholar 

  6. Vasil’eva, A.B. and Butuzov, V.F., Singulyarno vozmushchennye uravneniya v kriticheskikh sluchayakh (Singularly Perturbed Equations in Critical Cases), Moscow: Moskov. Gos. Univ., 1978.

    Google Scholar 

  7. Hale, J., Oscillations in Nonlinear Systems, New York: McGraw-Hill, 1963. Translated under the title Kolebaniya v nelineinykh sistemakh, Moscow: Mir, 1966.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © P.F. Samusenko, 2006, published in Differential’nye Uravneniya, 2006, Vol. 42, No. 6, pp. 756–763.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Samusenko, P.F. Construction of periodic solutions of a nonlinear singularly perturbed system of differential equations with degeneration. Diff Equat 42, 805–813 (2006). https://doi.org/10.1134/S0012266106060048

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0012266106060048

Keywords

Navigation