Geodesic
On Nagumo's Condition
Canadian mathematical bulletin, Tome 15 (1972) no. 4, pp. 609-611

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

The classical uniqueness theorem of Nagumo [1] for ordinary differential equations is as follows.Theorem. If f(t, y) is continuous on 0≤t≤1, -∞<y<∞ and if then there is at most one solution to the initial value problem y'=f(t, y), y(0)=0. 
Rogers, Thomas. On Nagumo's Condition. Canadian mathematical bulletin, Tome 15 (1972) no. 4, pp. 609-611. doi: 10.4153/CMB-1972-109-2
@article{10_4153_CMB_1972_109_2,
     author = {Rogers, Thomas},
     title = {On {Nagumo's} {Condition}},
     journal = {Canadian mathematical bulletin},
     pages = {609--611},
     year = {1972},
     volume = {15},
     number = {4},
     doi = {10.4153/CMB-1972-109-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-109-2/}
}
TY  - JOUR
AU  - Rogers, Thomas
TI  - On Nagumo's Condition
JO  - Canadian mathematical bulletin
PY  - 1972
SP  - 609
EP  - 611
VL  - 15
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-109-2/
DO  - 10.4153/CMB-1972-109-2
ID  - 10_4153_CMB_1972_109_2
ER  - 
%0 Journal Article
%A Rogers, Thomas
%T On Nagumo's Condition
%J Canadian mathematical bulletin
%D 1972
%P 609-611
%V 15
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-109-2/
%R 10.4153/CMB-1972-109-2
%F 10_4153_CMB_1972_109_2

[1] 1. Nagumo, M., Eine hinreichende Bedingung für die Unität der Losung von Differential-gleichungen erster Ordnung, Japan. J. Math. 3 (1926), 107-112. Google Scholar

[2] 2. Hille, E., Lectures on ordinary differential equations, Addison-Wesley, Reading, Mass., 1969. Google Scholar

Cité par Sources :