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The Deficiency Index Problem for Powers of Ordinary Differential Expressions

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Author(s): Robert M. Kauffman, Thomas T. Read, Anton Zettl (auth.)
Series: Lecture Notes in Mathematics 621
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1977

Language: English
Pages: 112
City: Berlin; New York
Tags: Mathematics, general

Introduction....Pages 1-2
Functional analytic preliminaries....Pages 3-5
Linear differential operators and the general classification theory of deficiency indices....Pages 6-21
Second order limit-point, limit-circle conditions....Pages 22-40
Higher order limit-point criteria....Pages 41-54
The deficiency index problem for polynomials in symmetric differential expressions....Pages 55-78
Applications of perturbation theory....Pages 79-88
Conditions on the coefficients for all powers to be limit-point....Pages 89-97