Skip to main content
SpringerLink
Log in

Certain properties of solutions of systems of differential equations with retarded argument

  • Published:
Ukrainian Mathematical Journal Aims and scope

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

Literature cited

  1. A. D. Myshkis, “On certain problems of the theory of differential equations with deviating argument,” in: Differential Equations with Deviating Argument [in Russian], Yu. A. Mitropol'skii and A. N. Sharkovskii (eds.), Naukova Dumka, Kiev (1977), pp. 221–247.

    Google Scholar 

  2. V. N. Shevelo and N. V. Varekh, “On certain properties of solutions of systems of functional-differential equations,” in: Qualitative Investigation of Functional-Differential Equations [in Russian], Kiev (1980), pp. 153–171.

  3. D. D. Mirzov, “On the oscillation of solutions of a system of differential equations,” Mat. Zametki,23, No. 3, 401–404 (1978).

    Google Scholar 

  4. D. D. Mirzov, “On the oscillation of solutions of a system of nonlinear differential equations,” Differents. Uravn.,9, No. 3, 571–576 (1973).

    Google Scholar 

  5. D. D. Mirzov, “A remark on the oscillation of solutions of a system of ordinary differential equations,” Soobshch. Akad. Nauk Gruz. SSR,61, No. 2, 277–279 (1971).

    Google Scholar 

  6. N. V. Varekh, A. G. Gritsai, and V. N. Shevelo, “On the oscillation of solutions of certain systems of differential equations with retarded argument,” in: Methods of the Quantitative and Qualitative Study of Differential and Integral Equations [in Russian], Yu. A. Mitropol'skii, A. Yu. Luchka, and V. P. Filchakov (eds.), Izd. Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1975), pp. 20–38.

    Google Scholar 

  7. N. V. Varekh, A. G. Gritsai, and V. N. Shevelo, “On certain properties of solutions of systems of differential equations with retardation,” in: Qualitative Methods of the Theory of Differential Equations with Deviating Argument [in Russian], Yu. A. Mitropol'skii and A. N. Sharkovskii (eds.), Izd. Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1977), pp. 17–25.

    Google Scholar 

  8. G. Ladas, G. Ladde, and J. S. Papadakis, “Oscillations of functional differential equations generated by delay,” J. Diff, Eq.,12, No. 2, 385–395 (1972).

    Google Scholar 

  9. Y. G. Sficas and V. A. Staikos, “Oscillations of differential equations with deviating argument,” Funkc. Ekvacioj.,19, No. 1, 35–43 (1976).

    Google Scholar 

  10. R. Oláh, “Note on the oscillatory behavior of bounded solutions of higher order differential equation with retarded argument,” Arch. Math.,14, No. 3, 171–174 (1978).

    Google Scholar 

  11. M. Naito, “Oscillations of differential inequalities with retarded arguments,” Hiroshima Math. J.,5, No. 2, 187–192 (1975).

    Google Scholar 

  12. Y. G. Sficas and V. A. Staikos, “The effect of retarded actions of nonlinear oscillations,” Proc. Am. Math. Soc.,46, No. 2, 259–264 (1974).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, USSR

    N. V. Varekh & V. N. Shevelo

Authors
  1. N. V. Varekh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. N. Shevelo
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 34, No. 1, pp. 1–8, January–February, 1982.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Varekh, N.V., Shevelo, V.N. Certain properties of solutions of systems of differential equations with retarded argument. Ukr Math J 34, 1–7 (1982). https://doi.org/10.1007/BF01086125

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01086125

Keywords

Search

Navigation