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Initial conditions for integrable-square solutions to singular differential equations

Published online by Cambridge University Press:  14 November 2011

Philip W. Walker
Philip W. Walker
Affiliation:
Department of Mathematics, University of Houston, Houston, Texas 77204-3476, U.S.A.
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Synopsis

This paper deals with determining in a constructive manner those members of a linear space of functions which are of integrable-square. The space considered is the set of solutions to an ordinary differential equation, and the solutions of integrable-square are delineated by way of initial conditions. Numerical procedures for implementing the construction are discussed, and application is made to the deficiency index problem. Results from some specific computations are given.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 120 , Issue 1-2 , 1992 , pp. 117 - 127
Copyright
Copyright © Royal Society of Edinburgh 1992

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