On Nagumo's theorem

Proceedings of the Japan Academy Series A: Mathematical Sciences

Volumn 86, Issue 2, 2010, Pages 41-44

  Constantin, Adrian ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

Ordinary differential equation; Uniqueness

Indexed keywords

EID: 77953675181     PISSN: 03862194     EISSN: None     Source Type: Journal    
DOI: 10.3792/pjaa.86.41     Document Type: Article

References (7)

1. Z. S. Athanassov, Uniqueness and convergence of successive approximations for ordinary differential equations, Math. Japon 35 (1990), no. 2, 351-367.
2. R. Bellman, Stability theory of differential equations, McGraw-Hill Book Company, Inc., New York, 1953.
3. A. Constantin, On the existence of positive solutions of second order differential equations, Ann. Mat. Pura Appl. (4) 184 (2005), no. 2, 131-138.
4. (n) (t)=f(t,x), Rend. Circ. Mat. Palermo (2) 42 (1993), no. 1, 59-64.
5. A. Constantin, On the existence and pathwise uniqueness of solutions of stochastic differential equations, Stochastics Stochastics Rep. 56 (1996), no. 3-4, 227-239.
6. W. A. Coppel, Stability and asymptotic behavior of differential equations, D. C. Heath and Co., Boston, Mass., 1965.
7. M. Nagumo, Eine hinreichende Bedingung für die Unität der Lösung von Differentialgleichungen erster Ordnung, Japan J. Math. 3 (1926), 107-112.