Skip to main content
SpringerLink
Log in

Asymptotic representations of solutions of essentially nonlinear second-order differential equations

  • 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

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Kiguradze, I.T. and Chanturiya, T.A., Asimptoticheskie svoistva reshenii neavtonomnykh obyknovennykh differentsial’nykh uravnenii (Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations), Moscow: Nauka, 1990.

    Google Scholar 

  2. Kostin, A.V., Dokl. Akad. Nauk, 1971, vol. 200, no. 1, pp. 28–31.

    MathSciNet  Google Scholar 

  3. Kostin, A.V. and Evtukhov, V.M., Dokl. Akad. Nauk, 1976, vol. 231, no. 5, pp. 1059–1062.

    MathSciNet  Google Scholar 

  4. Evtukhov, V.M., Dokl. Akad. Nauk, 1977, vol. 233, no. 1, pp. 427–431.

    Google Scholar 

  5. Evtukhov, V.M., Soobshch. Akad. Nauk Georgia, 1982, vol. 106, no. 3, pp. 473–476.

    MATH  MathSciNet  Google Scholar 

  6. Marić, V. and Tomić, M., Math. Z., 1976, vol. 149, pp. 261–266.

    Article  MathSciNet  Google Scholar 

  7. Wong, P.K., Pacific J. Math., 1963, vol. 13, pp. 737–760.

    MATH  MathSciNet  Google Scholar 

  8. Talliaferro, S.D., SIAM J. Math. Anal., 1981, vol. 12, no. 6, pp. 853–865.

    Article  MathSciNet  Google Scholar 

  9. Evtukhov, V.M. and Drik, N.G., Soobshch. Akad. Nauk Georgia, 1989, vol. 133, no. 1, pp. 29–32.

    MATH  MathSciNet  Google Scholar 

  10. Evtukhov, V.M. and Drik, N.G., Georgian Math. J., 1996, vol. 3, no. 2, pp. 101–120.

    Article  MathSciNet  Google Scholar 

  11. Shinkarenko, V.N., Nelin. Koliv., 2004, vol. 7, no. 4, pp. 562–573.

    MATH  MathSciNet  Google Scholar 

  12. Kirillova, L.O., Nauk. Visnik Cherniv. Univ. Mat., 2004, vol. 228, pp. 30–35.

    MathSciNet  Google Scholar 

  13. Evtukhov, V.M. and Kirillova, L.A., Differ. Uravn., 2005, vol. 41, no. 8, pp. 1053–1061.

    MathSciNet  Google Scholar 

  14. Kirillova, L.A., Nelin. Koliv., 2005, vol. 8, no. 1, pp. 18–28.

    MATH  MathSciNet  Google Scholar 

  15. Coppel, W.A., Stability and Asymptotic Behavior of Differential Equations, Boston, 1965.

  16. Rudin, W., Principles of Mathematical Analysis, New York: McGraw Hill, 1976. Translated under the title Osnovy matematicheskogo analiza, Moscow: Mir, 1976.

    MATH  Google Scholar 

  17. Evtukhov, V.M., Dokl. Akad. Nauk, 1992, vol. 234, no. 2, pp. 258–260.

    Google Scholar 

  18. Kostin, A.V., Differ. Uravn., 1965, vol. 1, no. 5, pp. 585–604.

    MATH  MathSciNet  Google Scholar 

  19. Evtukhov, V.M., Differ. Uravn., 2003, vol. 39, no. 4, pp. 441–452.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Odessa National University, Odessa, Ukraine

    V. M. Evtukhov & V. M. Kharkov

Authors
  1. V. M. Evtukhov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. M. Kharkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © V.M. Evtukhov, V.M. Kharkov, 2007, published in Differentsial’nye Uravneniya, 2007, Vol. 43, No. 10, pp. 1311–1323.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Evtukhov, V.M., Kharkov, V.M. Asymptotic representations of solutions of essentially nonlinear second-order differential equations. Diff Equat 43, 1340–1352 (2007). https://doi.org/10.1134/S0012266107100023

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0012266107100023

Keywords

Search

Navigation