Geodesic
Global monotonicity and oscillation for second order differential equation
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 1, pp. 209-222
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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.
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.
Classification : 34C10, 34C11
Keywords: second order nonlinear differential equation; oscillatory solution; nonoscillatory solution; coexistence problem 
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Bartušek, M.; Cecchi, M.; Došlá, Z.; Marini, M. Global monotonicity and oscillation for second order differential equation. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 1, pp. 209-222. http://geodesic.mathdoc.fr/item/CMJ_2005_55_1_a15/

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