Geodesic
Global monotonicity and oscillation for second order differential equation
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 1, pp. 209-222.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{CMJ_2005__55_1_a15,
     author = {Bartu\v{s}ek, M. and Cecchi, M. and Do\v{s}l\'a, Z. and Marini, M.},
     title = {Global monotonicity and oscillation for second order differential equation},
     journal = {Czechoslovak Mathematical Journal},
     pages = {209--222},
     publisher = {mathdoc},
     volume = {55},
     number = {1},
     year = {2005},
     mrnumber = {2121668},
     zbl = {1081.34029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2005__55_1_a15/}
}
TY  - JOUR
AU  - Bartušek, M.
AU  - Cecchi, M.
AU  - Došlá, Z.
AU  - Marini, M.
TI  - Global monotonicity and oscillation for second order differential equation
JO  - Czechoslovak Mathematical Journal
PY  - 2005
SP  - 209
EP  - 222
VL  - 55
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2005__55_1_a15/
LA  - en
ID  - CMJ_2005__55_1_a15
ER  - 
%0 Journal Article
%A Bartušek, M.
%A Cecchi, M.
%A Došlá, Z.
%A Marini, M.
%T Global monotonicity and oscillation for second order differential equation
%J Czechoslovak Mathematical Journal
%D 2005
%P 209-222
%V 55
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2005__55_1_a15/
%G en
%F CMJ_2005__55_1_a15
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/