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Global monotonicity and oscillation for second order differential equation

Basic information
Original title:Global monotonicity and oscillation for second order differential equation
Authors:Miroslav Bartušek, Zuzana Došlá, Mariella Cecchi, Mauro Marini
Further information
Citation:BARTUŠEK, Miroslav, Zuzana DOŠLÁ, Mariella CECCHI and Mauro MARINI. Global monotonicity and oscillation for second order differential equation. Czech. Math. J., Praha, 2005, vol. 55, No 2, p. 209 -222. ISSN 0011-4642.Export BibTeX
@article{569693,
author = {Bartušek, Miroslav and Došlá, Zuzana and Cecchi, Mariella and Marini, Mauro},
article_location = {Praha},
article_number = {2},
keywords = {second order nonlinear differential equation;oscillatory solution;nonoscillatory solution;coexistence problem},
language = {eng},
issn = {0011-4642},
journal = {Czech. Math. J.},
title = {Global monotonicity and oscillation for second order differential equation},
volume = {55},
year = {2005}
}
Original language:English
Field:General mathematics
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.

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