Displaying similar documents to “On bounded nonoscillatory solutions of third-order nonlinear differential 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.

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.