Sharp oscillation criteria for fourth order sub-half-linear and super-half-linear differential equations.
Manojlovic, J.V., Milosevic, J. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “Effect of nonlinear perturbations on second order linear nonoscillatory differential equations.”
Sharp oscillation criteria for fourth order sub-half-linear and super-half-linear differential equations.
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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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 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.
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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Oscillation criteria for a class of second-order nonlinear differential equations with damping term.
Ouyang, Zigen, Zhong, Jichao, Zou, Shuliang (2009)
Abstract and Applied Analysis
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Comparison theorems for noncanonical third order nonlinear differential equations
Ivan Mojsej, Ján Ohriska (2007)
Open Mathematics
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The aim of our paper is to study oscillatory and asymptotic properties of solutions of nonlinear differential equations of the third order with quasiderivatives. We prove comparison theorems on property A between linear and nonlinear equations. Some integral criteria ensuring property A for nonlinear equations are also given. Our assumptions on the nonlinearity of f are restricted to its behavior only in a neighborhood of zero and a neighborhood of infinity.
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 where this equation is viewed as a perturbation of another equation of the same form.