Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-08T08:36:57.545Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

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

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