Global monotonicity and oscillation for second order differential equation
|Original title:||Global monotonicity and oscillation for second order differential equation|
|Authors:||Miroslav Bartušek, Zuzana Došlá, Mariella Cecchi, Mauro Marini|
|Type:||Article in Periodical|
|Keywords:||second order nonlinear differential equation;oscillatory solution;nonoscillatory solution;coexistence problem|
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.