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Ordinary Differential Equations and Operators pp 449–501Cite as

Floquet theory for doubly-periodic differential equations and a number theory conjecture

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1032))

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References

  1. Ch Hermite: Sur Quelques Applications des Functions Elliptiques, Oeuvres Vol III, 264–428.

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  2. F M Arscott and B D Sleeman: Multiplicative solutions of linear differential equations. J. London Math. Soc. 43 (1968), 263–270.

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  3. B D Sleeman: Multiparameter periodic differential equations. Proc. Conf. on the Theory of Ordinary and Partial Differential Equations (1978). Lecture Notes in Mathematics Vol 827, 229–250, (1980).

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  4. F M Arscott and G P Wright: Floquet Theory for Doubly-periodic Differential Equations. Spisy Přírodov fak Univ. J E Purkyně v Brně T5 (1969) 111–124.

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  5. G P Wright: Floquet Theory for Doubly-periodic Differential Equations. Ph.D. Thesis, University of Surrey, 1970.

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  6. F M Arscott: Periodic Differential Equations. Pergamon Press, Oxford, 1964.

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  7. S Lang: Algebraic Number Theory. Addison Wesley, 1970.

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  8. R L Long: Algebraic Number Theory. Monographs and textbooks in pure and applied maths, No 41. Marcel Dekker, 1977.

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Authors
  1. BD Sleeman
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  2. PD Smith
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Editor information

W. N. Everitt R. T. Lewis

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© 1983 Springer-Verlag

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Sleeman, B., Smith, P. (1983). Floquet theory for doubly-periodic differential equations and a number theory conjecture. In: Everitt, W.N., Lewis, R.T. (eds) Ordinary Differential Equations and Operators. Lecture Notes in Mathematics, vol 1032. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076813

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  • DOI: https://doi.org/10.1007/BFb0076813

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12702-4

  • Online ISBN: 978-3-540-38689-6

  • eBook Packages: Springer Book Archive

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