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Periodic solutions of a linear differential equation of the second order with periodic coefficients

Published online by Cambridge University Press:  24 October 2008

E. L. Ince
E. L. Ince
Affiliation:
Trinity College
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Extract

The equation to be considered is of the type

where p (x) is continuous for all real values of x, even, and periodic. It is no restriction to suppose that the period is π, and this assumption will be made, so that the equation is virtually Hill's equation.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 23 , Issue 1 , February 1926 , pp. 44 - 46
Copyright
Copyright © Cambridge Philosophical Society 1926

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References

* Proc. Camb. Phil. Soc. vol. 21 (1922), p. 117.Google Scholar

† E.g. Hille, Einar, Proc. Lond. Math. Soc. (2), vol. 23 (1923), p. 224.Google Scholar

‡ Another particular case was discussed by the present writer, Proc. Lond. Math. Soc. (2), vol. 23 (1923), p. 56.Google Scholar