Sharp oscillation criteria for fourth order sub-half-linear and super-half-linear differential equations.

Manojlovic, J.V.; Milosevic, J.

Displaying similar documents to “Sharp oscillation criteria for fourth order sub-half-linear and super-half-linear differential equations.”

Methods of oscillation theory of half-linear second order differential equations

Ondřej Došlý (2000)

Czechoslovak Mathematical Journal

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In this paper we investigate oscillatory properties of the second order half-linear equation ${(r (t) Φ (y^{'}))}^{'} + c (t) Φ (y) = 0, Φ (s) : = {| s |}^{p - 2} s . (*)$ Using the Riccati technique, the variational method and the reciprocity principle we establish new oscillation and nonoscillation criteria for (*). We also offer alternative methods of proofs of some recent oscillation results.

Effect of nonlinear perturbations on second order linear nonoscillatory differential equations.

Shibuya, A., Tanigawa, T. (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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On the asymptotic nature of a class of second order nonlinear systems.

Valdés, Juan E.Nápoles (2002)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Oscillation for third-order nonlinear differential equations with deviating argument.

Bartušek, Miroslav, Cecchi, Mariella, Došlá, Zuzana, Marini, Mauro (2010)

Abstract and Applied Analysis

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Hille-Wintner type comparison kriteria for half-linear second order differential equations

Ondřej Došlý, Zuzana Pátíková (2006)

Archivum Mathematicum

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We establish Hille-Wintner type comparison 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.

Oscillation and nonoscillation theorems for a class of even-order quasilinear functional differential equations.

Manojlović, Jelena, Tanigawa, Tomoyuki (2006)

Journal of Inequalities and Applications [electronic only]

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