Proceedings of the American Mathematical Society

On the reducibility of linear differential equations with quasiperiodic coefficients which are degenerate

Author(s): Xu Junxiang; Zheng Qin
Journal: Proc. Amer. Math. Soc. 126 (1998), 1445-1451.
MSC (1991): Primary 34D20; Secondary 34C05
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 34D20, 34C05

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: 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
Copyright of article: Copyright 1998, American Mathematical Society

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