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An eigenfunction expansion associated with a two-parameter system of differential equations. II

Published online by Cambridge University Press:  14 November 2011

M. Faierman
M. Faierman
Affiliation:
Department of Mathematics, University of the Witwatersrand, Johannesburg, South Africa
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Synopsis

We continue with the work of an earlier paper concerning the use of partial differential equations to prove the uniform convergence of the eigenfunction expansion associated with a left definite two-parameter system of ordinary differential equations of the second order.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 92 , Issue 1-2 , 1982 , pp. 87 - 93
Copyright
Copyright © Royal Society of Edinburgh 1982

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References

1Faierman, M.. An Eigenfunction expansion associated with a two-parameter system of differential equations. I. Proc. Roy. Soc. Edinburgh Sect. A 89, (1981), 143–155.CrossRefGoogle Scholar
2Mizohata, S.. The theory of partial differential equations (Cambridge: University Press, 1973).Google Scholar
3Kato, T.. Perturbation theory for linear operators, 2nd edn (Berlin: Springer, 1976).Google Scholar
4Agmon, S.. Lectures in elliptic boundary values problems (New York: Van Nostrand, 1965).Google Scholar
5Faierman, M.. Eigenfunction expansions associated with a two-parameter system of differential equations. Proc. Roy. Soc. Edinburgh Sect. A 81, (1978), 79–93.CrossRefGoogle Scholar