Displaying similar documents to “Growth estimates for non-oscillatory solutions of a non-linear differential equation”

Global monotonicity and oscillation for second order differential equation

Miroslav Bartušek, Mariella Cecchi, Zuzana Došlá, Mauro Marini (2005)

Czechoslovak Mathematical Journal

Similarity:

Oscillatory properties of the second order nonlinear equation ( r ( t ) x ' ) ' + q ( t ) f ( x ) = 0 are investigated. In particular, criteria for the existence of at least one oscillatory solution and for the global monotonicity properties of nonoscillatory solutions are established. The possible coexistence of oscillatory and nonoscillatory solutions is studied too.