✦ LIBER ✦

Normal forms for nonautonomous difference equations

✍ Scribed by S. Siegmund

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 903 KB
Volume: 45
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(03)00085-3

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✦ Synopsis

we extend Henry Poincare's normal form theory for autonomous difference equations "k+l = f(xk) to nonautonomous difference equations zk+r = fk(zk). Poincare's nonresonance condition Xj -nz, Xpi # 0 for eigenvalues is generalized to the new nonresonance condition Xj n nbl Xy = 0 for spectral intervals.

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