Geodesic
A Global Existence Theorem
Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 519-520

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

The Cauchy-Peano existence theorem (1) does not allow us to decide from the form of a given system of equations whether or not its solution can be continued for the infinite interval -∞ < t < ∞. Several sufficient conditions for such a continuation were given by A. Wintner in (2). The main result of his paper is the following theorem which is not proven. 
Eisen, M. A Global Existence Theorem. Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 519-520. doi: 10.4153/CMB-1966-064-7
@article{10_4153_CMB_1966_064_7,
     author = {Eisen, M.},
     title = {A {Global} {Existence} {Theorem}},
     journal = {Canadian mathematical bulletin},
     pages = {519--520},
     year = {1966},
     volume = {9},
     number = {4},
     doi = {10.4153/CMB-1966-064-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-064-7/}
}
TY  - JOUR
AU  - Eisen, M.
TI  - A Global Existence Theorem
JO  - Canadian mathematical bulletin
PY  - 1966
SP  - 519
EP  - 520
VL  - 9
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-064-7/
DO  - 10.4153/CMB-1966-064-7
ID  - 10_4153_CMB_1966_064_7
ER  - 
%0 Journal Article
%A Eisen, M.
%T A Global Existence Theorem
%J Canadian mathematical bulletin
%D 1966
%P 519-520
%V 9
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-064-7/
%R 10.4153/CMB-1966-064-7
%F 10_4153_CMB_1966_064_7

[1] 1. Nemytskii, V.V. and Stepanov, V.V., Qualitative Theory of Differential Equations. Princeton Univ. Press, Princeton, (1960). Google Scholar

[2] 2. Wintner, A., The Non-local existence problem of ordinary differential equations. Amer. Journal of Math. 67, (1945), pages 277-284. Google Scholar

Cité par Sources :