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On the reducibility
of linear differential equations
with quasiperiodic coefficients
which are degenerate
Authors:
Xu Junxiang and Zheng Qin
Journal:
Proc. Amer. Math. Soc. 126 (1998), 1445-1451
MSC (1991):
Primary 34D20; Secondary 34C05
MathSciNet review:
1458272
Full-text PDF Free Access
Abstract |
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Additional Information
Abstract: This paper proves the reducibility of a class of linear differential equations with quasiperiodic coefficients which are degenerate with respect to a small perturbation parameter. Our results generalize some that were obtained by Jorba and Simó.
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Additional Information
Xu Junxiang
Affiliation:
Department of Mathematics and Mechanics, Southeast University, Nanjing 210096, People’s Republic of China
Email:
xujun@seu.edu.cn
Zheng Qin
Affiliation:
Department of Mathematics, Nanjing University, Nanjing 210093, People’s Republic of China
DOI:
http://dx.doi.org/10.1090/S0002-9939-98-04523-7
PII:
S 0002-9939(98)04523-7
Keywords:
Linear differential equations,
reducibility,
quasiperiodic,
KAM iteration
Received by editor(s):
October 22, 1996
Communicated by:
Hal L. Smith
Article copyright:
© Copyright 1998 American Mathematical Society
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