Publication details

Global monotonicity and oscillation for second order differential equation

Authors

BARTUŠEK Miroslav DOŠLÁ Zuzana CECCHI Mariella MARINI Mauro

Year of publication 2005
Type Article in Periodical
Magazine / Source Czech. Math. J.
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords second order nonlinear differential equation;oscillatory solution;nonoscillatory solution;coexistence problem
Description 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.
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