Geodesic
A Second Order Superlinear Oscillation Criterion
Canadian mathematical bulletin, Tome 27 (1984) no. 1, pp. 102-112

Voir la notice de l'article provenant de la source Cambridge

DOI

A new oscillation criterion is given for general superlinear ordinary differential equations of second order of the form x′′(t)+ a(t)f[x(t)]=0, where a ∈ C([t0∞,)), f∈C(R) with yf(y)>0 for y≠0 and and f is continously differentiable on R-{0} with f'(y)≥0 for all y≠O. In the special case of the differential equation (γ > 1) this criterion leads to an oscillation result due to Wong [9].
DOI : 10.4153/CMB-1984-015-0
Mots-clés : 34C10, 34C15, Superlinear differential equations, oscillation 
Philos, Ch. G. A Second Order Superlinear Oscillation Criterion. Canadian mathematical bulletin, Tome 27 (1984) no. 1, pp. 102-112. doi: 10.4153/CMB-1984-015-0
@article{10_4153_CMB_1984_015_0,
     author = {Philos, Ch. G.},
     title = {A {Second} {Order} {Superlinear} {Oscillation} {Criterion}},
     journal = {Canadian mathematical bulletin},
     pages = {102--112},
     year = {1984},
     volume = {27},
     number = {1},
     doi = {10.4153/CMB-1984-015-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-015-0/}
}
TY  - JOUR
AU  - Philos, Ch. G.
TI  - A Second Order Superlinear Oscillation Criterion
JO  - Canadian mathematical bulletin
PY  - 1984
SP  - 102
EP  - 112
VL  - 27
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-015-0/
DO  - 10.4153/CMB-1984-015-0
ID  - 10_4153_CMB_1984_015_0
ER  - 
%0 Journal Article
%A Philos, Ch. G.
%T A Second Order Superlinear Oscillation Criterion
%J Canadian mathematical bulletin
%D 1984
%P 102-112
%V 27
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-015-0/
%R 10.4153/CMB-1984-015-0
%F 10_4153_CMB_1984_015_0

Cité par Sources :