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

  • Patrick J. Browne (a1) and B. D. Sleeman (a1)

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.

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References

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1Binding, P. A. and Browne, P. J.. A Variational Approach to Multi-parameter Eigenvalue Problems in Hilbert Space. SIAM J. Math. Anal. 9(1978)10541067.
2Browne, P. J.. The interlacing of eigenvalues for periodic multi-parameter problems. Proc. Roy. Soc. Edinburgh Sect. A 80 (1978), 357362.
3Eastham, M. S. P.. The Spectral Theory of Periodic Differential Equations (Edinburgh: Scottish Academic Press, 1973).
4Weinstein, A. and Stenger, W.. Methods of Intermediate Problems for Eigenvalues (New York: Academic Press, 1972).

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

  • Patrick J. Browne (a1) and B. D. Sleeman (a1)

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