The Deficiency Index Problem for Powers of Ordinary Differential Expressions

Inhaltsverzeichnis

• Functional analytic preliminaries.
• Linear differential operators and the general classification theory of deficiency indices.
• Second order limit-point, limit-circle conditions.
• Higher order limit-point criteria.
• The deficiency index problem for polynomials in symmetric differential expressions.
• Applications of perturbation theory.
• Conditions on the coefficients for all powers to be limit-point.