Advertisement

Ukrainian Mathematical Journal

, Volume 34, Issue 2, pp 129–133 | Cite as

Sturm-type comparison theorems for first- and second-order differential equations with delays of variable sign

  • Yu. I. Domshlak
Article

Keywords

Differential Equation Variable Sign Comparison Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    A. D. Myshkis, Linear Differential Equations with Delay [in Russian], Nauka, Moscow (1972).Google Scholar
  2. 2.
    H. Onose, “A comparison theorem and the forced oscillation,” Bull. Austral. Math. Soc.,13, No. 1, 13–19 (1975).Google Scholar
  3. 3.
    H. Onose, “A comparison theorem for delay differential equations,” Utilitas Math.,10, 185–191 (1976).Google Scholar
  4. 4.
    T. A. Chanturiya, “Some asymptotic properties of solutions of ordinary differential equations,” Dokl. Akad. NaukSSSR,235, No. 5, 1049–1052 (1977).Google Scholar
  5. 5.
    V. N. Shevelo, “A comparison method for studying oscillatory solutions of nonlinear differential equations with delay,” in: Nonlinear Vibration Problems, Warsaw, Poland (1975), pp. 97–105.Google Scholar
  6. 6.
    R. G. Koplatadze and T. A. Chanturiya, Oscillation Properties of Differential Equations with Delay [in Russian], Tbilisi (1977).Google Scholar
  7. 7.
    Yu. I. Domshlak, “Sturm-type comparison method and its application in localizing zeros of solutions of differential equations with delay. I,” Izv. Akad. Nauk Azerb. SSR, Ser. Fiz.-Tekh. Mat. Nauk,5, 120–127 (1979).Google Scholar
  8. 8.
    Yu. I. Domshlak, “A comparison method of the Sturm type and its application in localizing zeros of solutions of differential equations with delay. II,” VINITI Dep. No. 2578-79.Google Scholar
  9. 9.
    D. V. Izyumova, “Oscillations of solutions of a linear differential equation of even order with sign-variable coefficient,” in: Asymptotic Behavior of Solutions of Differential Equations [in Russian], Kiev (1978), pp. 70–77.Google Scholar
  10. 10.
    A. Tomaras, “Oscillatory behavior of an equation arising from an industrial problem,” Bull. Austral. Math. Soc.,13, No. 2, 255–260 (1975).Google Scholar
  11. 11.
    V. N. Shevelo and A. F. Ivanov, “Asymptotic behavior of solutions of a class of first-order differential equations with delay of mixed type,” in: Asymptotic Behavior of Differential-Functional Equations [in Russian], Kiev (1977), pp. 143–150.Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • Yu. I. Domshlak
    • 1
  1. 1.Institute of Mathematics and MechanicsAcademy of Sciences of the Azerbaidzhan SSRUSSR

Personalised recommendations