# Global monotonicity and oscillation for second order differential equation

Miroslav Bartušek; Mariella Cecchi; Zuzana Došlá; Mauro Marini

Czechoslovak Mathematical Journal (2005)

- Volume: 55, Issue: 1, page 209-222
- ISSN: 0011-4642

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topBartušek, Miroslav, et al. "Global monotonicity and oscillation for second order differential equation." Czechoslovak Mathematical Journal 55.1 (2005): 209-222. <http://eudml.org/doc/30939>.

@article{Bartušek2005,

abstract = {Oscillatory properties of the second order nonlinear equation \[ (r(t)x^\{\prime \})^\{\prime \}+q(t)f(x)=0 \]
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.},

author = {Bartušek, Miroslav, Cecchi, Mariella, Došlá, Zuzana, Marini, Mauro},

journal = {Czechoslovak Mathematical Journal},

keywords = {second order nonlinear differential equation; oscillatory solution; nonoscillatory solution; coexistence problem; second-order nonlinear differential equation; oscillatory solution; nonoscillatory solution; coexistence problem},

language = {eng},

number = {1},

pages = {209-222},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Global monotonicity and oscillation for second order differential equation},

url = {http://eudml.org/doc/30939},

volume = {55},

year = {2005},

}

TY - JOUR

AU - Bartušek, Miroslav

AU - Cecchi, Mariella

AU - Došlá, Zuzana

AU - Marini, Mauro

TI - Global monotonicity and oscillation for second order differential equation

JO - Czechoslovak Mathematical Journal

PY - 2005

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 55

IS - 1

SP - 209

EP - 222

AB - Oscillatory properties of the second order nonlinear equation \[ (r(t)x^{\prime })^{\prime }+q(t)f(x)=0 \]
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.

LA - eng

KW - second order nonlinear differential equation; oscillatory solution; nonoscillatory solution; coexistence problem; second-order nonlinear differential equation; oscillatory solution; nonoscillatory solution; coexistence problem

UR - http://eudml.org/doc/30939

ER -

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