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Small divisor problems via a general theorem

Published online by Cambridge University Press:  17 April 2009

Alistair Gray
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Abstract

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Type
Abstracts of Australasian Ph.D. theses
Information
Bulletin of the Australian Mathematical Society , Volume 13 , Issue 3 , December 1975 , pp. 469 - 471
Copyright
Copyright © Australian Mathematical Society 1975

References

[1]Gray, Alistair, “Differentiation of composites with respect to a parameter”, J. Austral. Math. Soc. Ser. A 19 (1975), 121–128.CrossRefGoogle Scholar
[2]Gray, Alistair, “A fixed point theorem for small divisor problems”, J. Differential Equations 18 (1975), 346–365.CrossRefGoogle Scholar
[3]Gray, Alistair, “A reducibility theorem for holomorphic quasi-periodic linear systems via an implicit function theorem”, J. Math. Anal. Appl. (to appear).Google Scholar
[4]Митропольскийи, Ю.А.Самойленко, А.М. [Mitropol'skiĭ, Ju.A. and Samoĭlenko, A.M.], “О построении решений линейных дифференциальных уравний с квазипериодическими козффициентами с помощью метода ускоренной сходимости” [On the construction of solutions of linear differential equations with quasiperiodic coefficients by the method of accelerated convergence], Ukrain Mat. Ž. 17 (1965), 42–59; Amer. Math. Soc. Transl. (2) 79 (1969), 231–250.Google Scholar
[5]Sternberg, Shlomo, Celestial mechanics, Part II (Benjamin, New York, 1969).Google Scholar