Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-23T14:07:22.312Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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