Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-04-30T12:28:39.192Z Has data issue: false hasContentIssue false
  • English
  • Français

Stability regions for multi-parameter systems of periodic second order ordinary differential equations*

Published online by Cambridge University Press:  14 November 2011

Patrick J. Browne  and
B. D. Sleeman
Patrick J. Browne
Affiliation:
Department of Mathematics, University of Dundee
B. D. Sleeman
Affiliation:
Department of Mathematics, University of Dundee
Get access Rights & Permissions [Opens in a new window]

Synopsis

This paper studies the stability regions associated with the multi-parameter system

where the functions qr(xr), ars(xr) are periodic and the system is subjected to periodic or semi-periodic boundary conditions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 84 , Issue 3-4 , 1979 , pp. 249 - 257
Copyright
Copyright © Royal Society of Edinburgh 1979

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

1Binding, P. A. and Browne, P. J.. A Variational Approach to Multi-parameter Eigenvalue Problems in Hilbert Space. SIAM J. Math. Anal. 9(1978)1054–1067.CrossRefGoogle Scholar
2Browne, P. J.. The interlacing of eigenvalues for periodic multi-parameter problems. Proc. Roy. Soc. Edinburgh Sect. A 80 (1978), 357–362.CrossRefGoogle Scholar
3Eastham, M. S. P.. The Spectral Theory of Periodic Differential Equations (Edinburgh: Scottish Academic Press, 1973).Google Scholar
4Weinstein, A. and Stenger, W.. Methods of Intermediate Problems for Eigenvalues (New York: Academic Press, 1972).Google Scholar