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Invariant manifolds with asymptotic phase for nonautonomous difference equations

✍ Scribed by B. Aulbach; C. Pötzsche

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
823 KB
Volume
45
Category
Article
ISSN
0898-1221

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✦ Synopsis

For autonomous difference equations with an invariant manifold, conditions are known which guarantee that a solution approaching this manifold eventually behaves like a solution on this manifold. In this paper, we extend the fundamental result in this context to difference equations which are nonautonomous and whose solutions are guaranteed only in forward time.

📜 SIMILAR VOLUMES

Asymptotic stability for a linear differ
Asymptotic stability for a linear difference equation with variable delay
✍ J.S. Yu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 322 KB

We shall obtain sufficient conditions for the uniform stability and the global asymptotic stability of the linear difference equation with variable delay where {Pn} is a sequence of nonnegative real numbers, {kn} is a sequence of nonnegative integers, and there exists a nonnegative integer k such t