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Equadiff 6 pp 109-113 | Cite as

On properties of oscillatory solutions of non-linear differential equations of the n-th order

  • M. Bartušek
Lectures Presented In Sections Section A Ordinary Differential Equations
Part of the Lecture Notes in Mathematics book series (LNM, volume 1192)

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References

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    BARTUŠEK,M., On properties of oscillatory solutions of ordinary differential inequalities and equations, Dif. Urav. (to appear, in Russian).Google Scholar
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    BECKENBACH E.F., BELLMAN, R., Inequalities, Springer-Verlag, Berlin, 1961.CrossRefzbMATHGoogle Scholar
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    ELIAS, U., Oscillatory solutions an extremal points for a linear differential equation, Arch. Ration Mech. and Anal., 71, No 2, 177–198, 1979.MathSciNetCrossRefzbMATHGoogle Scholar
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    HEIDEL, J.W., Uniqueness, continuation, and nonoscillation for a second order nonlinear differential equation, Pacif. J. Math., 1970, 32, No 3, 715–721.MathSciNetCrossRefzbMATHGoogle Scholar
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    KIGURADZE, I.T., Some singular boundary value problems for ordinary differential equations (in Russian), Tbilisi Univ. Pres, Tbilisi 1975.Google Scholar
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    KIGURADZE,I.T., On asymptotic behaviour of solutions of nonlinear non-autonomous ordinary differential equations, Colloq. math. soc. I. Bolgai, 30.Qualitative theory of diff. eq., Szeged, 1979, pp. 507–554.Google Scholar
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    KIGURADZE I.T., On vanishing at infinity of solutions of ordinary differential equations, Czech. Math. J. 33 (108), 1983, 613–646.MathSciNetzbMATHGoogle Scholar

Copyright information

© Equadiff 6 and Springer-Verlag 1986

Authors and Affiliations

  • M. Bartušek
    • 1
  1. 1.Department of Applied Mathematics, Fac. of ScienceUniversity of J.E. PurkyněBrnoCzech Republic

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