On asymptotic decaying solutions for a class of second order differential equations

Serena Matucci

Displaying similar documents to “On asymptotic decaying solutions for a class of second order differential equations”

On the oscillatory behavior of solutions of second order nonlinear differential equations

John R. Graef, Paul W. Spikes (1986)

Czechoslovak Mathematical Journal

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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.

Positive solutions of third order damped nonlinear differential equations

Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini (2011)

Mathematica Bohemica

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We study solutions tending to nonzero constants for the third order differential equation with the damping term ${(a_{1} (t) {(a_{2} (t) x^{'} (t))}^{'})}^{'} + q (t) x^{'} (t) + r (t) f (x (ϕ (t))) = 0$ in the case when the corresponding second order differential equation is oscillatory.