Displaying similar documents to “Positive solutions of third order damped nonlinear differential equations”

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

Serena Matucci (1999)

Archivum Mathematicum

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The author considers the quasilinear differential equations r ( t ) ϕ ( x ' ) ' + q ( t ) f ( x ) = 0 , t ≥ a and r ( t ) ϕ ( x ' ) ' + F ( t , x ) = ± g ( t ) , t ≥ a . By means of topological tools there are established conditions ensuring the existence of nonnegative asymptotic decaying solutions of these equations.

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.