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Oscillation of second order linear ordinary differential equations with alternating coefficients

Published online by Cambridge University Press:  17 April 2009

Ch.G. Philos
Ch.G. Philos
Affiliation:
Department of Mathematics, University of loannina, loannina, Greece.
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Abstract

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A new result is obtained for the oscillation of second order linear ordinary differential equations with alternating coefficients. This oscillation result extends a recent oscillation criterion due to Kamenev [.Mat. Zametki 23 (1978), 249–251].

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 2 , April 1983 , pp. 307 - 313
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Hartman, Philip, “On non-oscillatory linear differential equations of second order“, Amer. J. Math. 74 (1952), 389–400.CrossRefGoogle Scholar
[2]Каменев, И.ê. [Kamenev, I.V.], “Об одном интегралъном ΠризΗакэΤи признаке колеблемости линейых диффереициалъных уравнений второго иорядка” [An integral criterion for oscillation of linear differential equations of second order”, Mat. Zametki 23 (1978), 249–251.Google Scholar
[3]Philos, Ch.G., “On a Kamenev's integral criterion for oscillation of linear differential equations of second order”, Utilitas Math. (to appear).Google Scholar
[4]Wintrier, Aurel, “A criterion of oscillatory stability”, Quart. Appl. Math. 7 (1949), 115–117.Google Scholar
[5]Yeh, Cheh-Chih, “An oscillation criterion for second order nonlinear differential equations with functional arguments”, J. Math. Anal. Appl. 76 (1980), 72–76.CrossRefGoogle Scholar
[6]Yeh, Cheh-Chih, “Oscillation theorems for nonlinear second order differential equations with damped term”, Proc. Amer. Math. Soc. 84 (1982), 397–402.Google Scholar