Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 32, pp. 1-13.

Title: Existence of unstable manifolds for a certain class of delay 
       differential equations
   
Author: Hari P. Krishnan (Morgan Stanley Corporation, Chicago, USA)

Abstract: 
  We prove a theorem for unstable manifolds in a differential 
  equation with a state-dependent delay.  Although the equation 
  cannot be formally linearized, we find an associated linear 
  delay equation whose dynamics are qualitatively similar near 
  the unstable manifold.  Our proof relies upon estimates of the 
  derivative of a trajectory on the unstable manifold near 
  equilibrium. 
 
Submitted December 1, 1999. Published April 1, 2002.
Math Subject Classifications: 34K40.
Key Words:  invariant manifolds, functional differential equations.
  
This and other articles are avilable in DVI, PDF, PS, and TeX format.
Thanks to the European Mathematical Information Service, the EJDE and 
other journals have mirror copies through the world. Here is a partial 
listing of mirror sites.

EUROPE:  http://www.emis.de/journals/EJDE

NORTH AMERICA: http://ejde.math.swt.edu   http://ejde.math.unt.edu 
               ftp: ejde.math.swt.edu  (login: ftp)

SOUTH AMERICA: http://www.icfes.gov.co/revistas/EJDE
          http://www.mat.unb.br/EMIS/journals/EJDE

ASIA:   
http://www.kurims.kyoto-u.ac.jp/EMIS/journals/EJDE
        http://emis.math.ecnu.edu.cn/journals/EJDE

AUSTRALIA:  
http://emis.maths.adelaide.edu.au/EMIS/journals/EJDE