Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 190, Issue 2, Pages 364-406Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/S0022-0396(02)00148-1
Keywords
delay equation; functional equation; inertial manifold; singular perturbation
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Yu.A. Ryabov and R.D. Driver proved that delay equations with small delays have Lipschitz inertial manifolds. We prove that these manifolds are smooth. In addition, we show that expansion in the small delay can be used to obtain the dynamical system on the inertial manifold. This justifies post-Newtonian approximation for delay equations. (C) 2002 Elsevier Science (USA). All rights reserved.
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