Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 172, pp. 1-9.

Title: Uniqueness for n-th order differential systems with strong
       singularities

Authors: Yifei Pan (Indiana Univ. Fort Wayne, IN, USA)
         Mei Wang  (Univ. of Chicago, Chicago, IL, USA)

Abstract:
 Using a Lipschitz type condition, we obtain the uniqueness
 of solutions for a system of n-th order nonlinear ordinary
 differential  equations where the coefficients are allowed
 to have singularities.

Submitted July 26, 2010. Published December 06, 2010.
Math Subject Classifications: 34A12, 65L05.
Key Words: Unique continuation; uniqueness; Caratheodory theorem;
           Gronwall inequality.