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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
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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

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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