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Displaying similar documents to “Oscillation for advanced differential equations with oscillating coefficients.”

Hartman-Wintner type criteria for half-linear second order differential equations

Zuzana Pátíková (2007)

Mathematica Bohemica

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We establish Hartman-Wintner type criteria for the half-linear second order differential equation r ( t ) Φ ( x ' ) ' + c ( t ) Φ ( x ) = 0 , Φ ( x ) = | x | p - 2 x , p > 1 , where this equation is viewed as a perturbation of another equation of the same form.

New oscillation criteria for first order nonlinear delay differential equations

Xianhua Tang, Jianhua Shen (2000)

Colloquium Mathematicae

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New oscillation criteria are obtained for all solutions of a class of first order nonlinear delay differential equations. Our results extend and improve the results recently obtained by Li and Kuang [7]. Some examples are given to demonstrate the advantage of our results over those in [7].