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 “Comparison theorems for noncanonical third order nonlinear differential equations”
Oscillation for third-order nonlinear differential equations with deviating argument.
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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 deviating argument. In particular, we prove a comparison theorem for properties A and B as well as a comparison result on property A between nonlinear equations with and without deviating arguments. Our assumptions on nonlinearity f are related to its behavior only in a neighbourhood of zero and/or of infinity.
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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.