Keywords
- Compact Support
- Order Differential Operator
- Symmetric Boundary Condition
- Nonnegative Measurable Function
- Deficiency Index
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
J. Bradley, D.B. Hinton, and R.M. Kauffman. On minimization of singular quadratic functionals. Proc. Roy. Soc. Edinburgh, 87A(1981), 193–208.
R.C. Brown. An operator theory approach to inequalities involving Dirichlet functionals, submitted.
D.B. Hinton. On the eigenfunction expansions of singular ordinary differential equations. J. Differential Equations, 24(1977), 282–308.
D.B. Hinton and R.M. Kauffman. On some properties of the Dirichlet index, in preparation.
T. Kato. "Perturbation Theory for Linear Operators", (Springer-Verlag, New York, 1966).
R.M. Kauffman. The number of Dirichlet solutions to a class of linear ordinary differential equations. J. Differential Equations, 31(1979), 117–129.
R.M. Kauffman. On the limit-n classification of ordinary differential operators with positive coefficients. Proc. London Math. Soc., 35(3) (1977), 495–526.
R.M. Kauffman, T.T. Read, and A. Zettl. "The Deficiency Index Problems for Powers of Ordinary Differential Expressions", (Lecture Notes in Mathematics #621, Ed. A. Dold and B. Eckmann, Springer-Verlag, Berlin, Heidelberg, and New York, 1977).
M.A. Naimark. "Linear Differential Operators, Part II", (Ungar, New York, 1968).
T.T. Read. Dirichlet solutions of fourth order differential operators, "Spectral theory of Differential Operators", Ed. I. Knowles and R. Lewis, (Math. Study Series, North Holland Publishing Co., Amsterdam, 1981).
T.T. Read. The number of the Dirichlet solutions of a fourth order differential equation, submitted.
J.B. Robinette. On the Dirichlet index of singular differential operators, in preparation.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
Brown, R.C. (1982). An approach to the dirichlet index for operators satisfying minimal conditions. In: Everitt, W., Sleeman, B. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 964. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064992
Download citation
DOI: https://doi.org/10.1007/BFb0064992
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11968-5
Online ISBN: 978-3-540-39561-4
eBook Packages: Springer Book Archive
