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November/December 2016 A note on local center manifolds for differential equations with state-dependent delay
Eugen Stumpf
Differential Integral Equations 29(11/12): 1093-1106 (November/December 2016). DOI: 10.57262/die/1476369331

Abstract

In this note we consider local invariant manifolds of functional differential equations $x^{\prime}(t)=f(x_{t})$ representing differential equations with state-dependent delay. Starting with a local center-stable and a local center-unstable manifold of the functional differential equation at a stationary point, we construct, by a straightforward application of the Implicit Mapping Theorem, a local center manifold.

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Eugen Stumpf. "A note on local center manifolds for differential equations with state-dependent delay." Differential Integral Equations 29 (11/12) 1093 - 1106, November/December 2016. https://doi.org/10.57262/die/1476369331

Information

Published: November/December 2016
First available in Project Euclid: 13 October 2016

zbMATH: 1341.34077
MathSciNet: MR3557313
Digital Object Identifier: 10.57262/die/1476369331

Subjects:
Primary: 34K19

Rights: Copyright © 2016 Khayyam Publishing, Inc.

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Vol.29 • No. 11/12 • November/December 2016
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