Skip to main content
Log in

Oscillation of solutions of high order linear differential delay equations

  • 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

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

Instant access to the full article PDF.

Literature cited

  1. R. Driver, “A backwards two-body problem of classical relativistic electrodynamics,” The Physical Review, Second Series,178, No. 5, 2051–2057 (1969).

    Google Scholar 

  2. A. D. Myshkis and L. É. Él'sgol'ts, “The current status and problems of the theory of differential equations with perturbed arguments, Uspekhi Matem. Nauk,22, No. 2 (1967).

  3. N. V. Azbelev, “On the zeros of solutions of second order linear differential delay equations,” Differentisial. Uravneniya,7, No. 7 (1971).

  4. V. N. Shevelo and O. N. Odarich, “Some questions in the theory of the oscillation (nonoscillation) of solutions of second order differential delay equations,” Ukrainsk. Matem. Zh.23, No. 4 (1971).

  5. P. Waltman, “A note on an oscillation criterion for an equation with a functional argument,” Canad. Math. Bull.,2, No. 4, 593–595 (1968).

    Google Scholar 

  6. H. Gollwitzer, “Onnonlinear oscillation for second order delay equations,” J. Math. Anal. Appl.,26, No. 2, 385–389 (1969).

    Google Scholar 

  7. J. Bradly, “Oscillation theorems for a second order delay equation,” J. Different. Equations,8, No.3, 397–403 (1970).

    Google Scholar 

  8. R. G. Koplatadze, “On the oscillation of solutions of second order differential delay equations,” Soobshch. Akad. Nauk GruzSSR,60, No. 2 (1970).

  9. V. N. Shevelo, “Some questions of the theory of oscillation of solutions of nonlinear nonautonomous differential equations,” Proc. Fourth Conference on Nonlinear Oscillations, Prague, 251–256 (1968).

  10. V. N. Shevelo, “On the effect of delay on the oscillation of solutions of high order differential equations,” Proc. Fifth Conference on Nonlinear Oscillations, Izd. Inst. Matem. Akad. Nauk SSSR, Vol. 2 (1970).

  11. J. G. Mikusinski, “On Fite's oscillation theorems,” Colloq. Math.,2, 34–39 (1949).

    Google Scholar 

  12. I. T. Kiguradze, “On the oscillation of solutions of the equation dmu/dtm +a(t) ¦u¦n sign u = 0,” Matem. Sb.,65, No. 2 (1964).

  13. A. Kneser, “Untersuchen über die reelen Nullstellen der Integrale linearer Differentialgleichungen,” Math. Ann.,42, No. 3, 409–435 (1893).

    Google Scholar 

  14. I. T. Kiguradze, “On the question of the oscillation of solutions of nonlinear differential equations,” Differentisial. Uravneniya,1, No. 8 (1965).

  15. V. A. Kondrat'ev, “On the oscillation of solutions of the equation y(n) + p(x)y=0,” Trudy Mosk. Matem. Obshch.,10 (1961).

  16. W. Fite, “Concerning the zeros of the solutions of certain differential equations,” Trans. Amer. Math. Soc.,19, No. 3, 341–352 (1918).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 24, No. 4, pp. 513–520, July–August, 1972.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shevelo, V.N., Varekh, N.V. Oscillation of solutions of high order linear differential delay equations. Ukr Math J 24, 410–416 (1972). https://doi.org/10.1007/BF01314692

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01314692

Keywords

Navigation