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The Expansion Problem with Boundary Conditions at a Finite Set of Points

Published online by Cambridge University Press:  20 November 2018

Randal H. Cole
Randal H. Cole*
Affiliation:
University of Western Ontario
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The problem of expanding an arbitrary function in a series of characteristic solutions of the ordinary differential equation

(1.1)

and the boundary relations

(1.2)

is well known. The various discussions are distinguished by the manner in which a parameter λ appears in the differential system and by the number of points at which the boundary conditions apply. The case in which the boundary conditions apply at intermediate as well as at the end points of a fundamental interval has been considered by Wilder (3).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 13 , 1961 , pp. 462 - 479
Copyright
Copyright © Canadian Mathematical Society 1961

References

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