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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Displaying similar documents to “On the asymptotic classes of solutions of a superlinear differential equation”
Oscillation for third-order nonlinear differential equations with deviating argument.
Unbounded solutions of third order delayed differential equations with damping term
Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini (2011)
Open Mathematics
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Globally positive solutions for the third order differential equation with the damping term and delay, are studied in the case where the corresponding second order differential equation is oscillatory. Necessary and sufficient conditions for all nonoscillatory solutions of (*) to be unbounded are given. Furthermore, oscillation criteria ensuring that any solution is either oscillatory or unbounded together with its first and second derivatives are presented. The comparison of results...
Oscillation in second order functional equations with deviating arguments.
Singh, Bhagat (1981)
International Journal of Mathematics and Mathematical Sciences
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A necessary and sufficient condition for the oscillation in a class of even order neutral differential equations.
Tanaka, Satoshi (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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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.
Oscillation criteria for second order nonlinear differential equations
Blanka Baculíková (2006)
Archivum Mathematicum
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Our aim in this paper is to present criteria for oscillation of the nonlinear differential equation The obtained oscillatory criteria improve existing ones.