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X.—The Two Parameter Sturm-Liouville Problem for Ordinary Differential Equations*

Published online by Cambridge University Press:  14 February 2012

B. D. Sleeman
B. D. Sleeman
Affiliation:
Department of Mathematics, The University, Dundee
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Synopsis

This paper discusses the existence, under fairly general conditions, of solutions of the two-parameter eigenvalue problem denned by the differential equation,

and three point Sturm-Liouville boundary conditions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 69 , Issue 2 , 1971 , pp. 139 - 148
Copyright
Copyright © Royal Society of Edinburgh 1971

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References

References to Literature

1.Gregus, M., Neumann, F., and Arscott, F. M., 1971. “Three-point boundary value problems in differential equations.” J. Lond. Math. Soc., 3, 429–436.CrossRefGoogle Scholar
2.Coddington, E. A., and Levinson, , 1955. Theory of ordinary differential equations. New York: McGraw-Hill.Google Scholar
3.Faierman, M., 1969. “The completeness and expansion theorems associated with the multi-parameter eigenvalue problem in ordinary differential equations”. J. Diff. Equations, 5, 197–213.CrossRefGoogle Scholar
4.Atkinson, F. V., 1968. “Multiparameter spectral theory”. Bull. Amer. Math. Soc., 74, 1–27.CrossRefGoogle Scholar