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Oscillatory and Non Oscillatory Behavior of the Equation Y''' + P0tβY' + q0tδY = 0 by Using Integral Conditions of Oscillation
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In this paper we derive different oscillation and non oscil- lation criteria for the equation y''' + p0tβy' + q0tδy = 0 using integral conditions of oscillation of third order linear differential equation.
Keywords
Oscillation, Non Oscillation, Third Order Differential Equations, Integral Condition for Oscillation, Euler Cauchy Equation.
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- J. H. Barrett, Oscillation Theory of Ordinary linear Differential Equation, Advances in Math., 3 (1969), 415 – 509.
- T. A. Chanturiya and I. T. Kiguradze, Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations, Nauka, Moscow, 1990.
- J. Dzurina, Asymptotic properties of third order differential equations with deviating argument, Czech. Math. J., 44 (1994),163 –172.
- L. Erbe. Existence of oscillatory solutions and asymptotic behavior for a class of third order linear diferential equations, Pacific J. Math., 64 (1976), 369 –385.
- M. Gregus, Linear Differential Equation of the Third Order, Veda, Bratislava., 1981.
- M. Hanan, Oscillation criteria for a third order linear differential equations, Pacific J. Math., 11 (1961), 919 –944.
- J. W. Heidel, Qualitative behavior of solutions of a third order nonlinear differential equation, Pacific J. Math., 27 (1968), 507 –526.
- N. N. Khvedelidze and T. A .Chanturiya, Oscillation of solutions of third order linear ordinary differential equations, Differencialnye Uravneniya., 27 no.3,4 (1991), 452 –460, 611–618.
- I. T. Kiguradze, On the oscillation of solutions of the equation dm/ dtm +a(t)|u|nsignu = 0, Mat. Sb., 65 (1964), 172 –187.
- I. T. Kiguradze, Some Singular Value Problems For Ordinary Differential Equations, University Press, Tbilisi., 1975.
- A. C. Lazer, The behavior of solutions of the differential equation y'''+p(x)y' +q(x)y = 0, Pacific J. Math., 17 (1966), 435 –466.
- A. Skerlik, An Integral condition of oscillation for equation y''' +p(t)y' +q(t)y = 0 with nonnegative coefficients, Archivum Mathematicum(Brno)., 31 (1995), 155 –161.
- A. Skerlik, Oscillation theorems for third order nonlinear differential equations, Math. Slovaca., 42 (1992), 471 –484.
- C. A. Swanson, Comparison and Oscillation Theory of Linear Differential Equations, Academic Press, New York, London, 1968.
- A. Skerlik, Integral criteria of oscillation for a third order linear differential equation, Math. Slovaca, 45 (1995), 403 –412.
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