Geodesic
Integrals of the Differential Equations ẍ + f ( s ) x = 0
Canadian mathematical bulletin, Tome 10 (1967) no. 2, pp. 191-196

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

DOI

In this note we consider a relatively ancient stability problem: the behaviour of solutions of the second order differential equation ẍ + f(s) x = 0, where f(s) tends to plus infinity as s tends to plus infinity. An extensive survey of the literature concerning this problem and a resume of results may be found in [ l ]. More recently McShane et a l. [2] have shown that the additional assumption f(s) ≥ 0 is not sufficient to guarantee that all solutions tend to zero as s tends to infinity. Our aim is to demonstrate a new criterion for which all solutions do have the above property. This criterion overlaps many of the cases heretofore considered. 
Datko, R. Integrals of the Differential Equations ẍ + f ( s ) x = 0. Canadian mathematical bulletin, Tome 10 (1967) no. 2, pp. 191-196. doi: 10.4153/CMB-1967-017-2
@article{10_4153_CMB_1967_017_2,
     author = {Datko, R.},
     title = {Integrals of the {Differential} {Equations} ẍ + f ( s ) x = 0},
     journal = {Canadian mathematical bulletin},
     pages = {191--196},
     year = {1967},
     volume = {10},
     number = {2},
     doi = {10.4153/CMB-1967-017-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-017-2/}
}
TY  - JOUR
AU  - Datko, R.
TI  - Integrals of the Differential Equations ẍ + f ( s ) x = 0
JO  - Canadian mathematical bulletin
PY  - 1967
SP  - 191
EP  - 196
VL  - 10
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-017-2/
DO  - 10.4153/CMB-1967-017-2
ID  - 10_4153_CMB_1967_017_2
ER  - 
%0 Journal Article
%A Datko, R.
%T Integrals of the Differential Equations ẍ + f ( s ) x = 0
%J Canadian mathematical bulletin
%D 1967
%P 191-196
%V 10
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-017-2/
%R 10.4153/CMB-1967-017-2
%F 10_4153_CMB_1967_017_2

Cité par Sources :