This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Amos, R. J.: On a Dirichlet and limit-circle criterion for second-order ordinary differential expressions. Quaestiones Mathematicae 3 (1978), 53–65.
Coddington, E. A. and Levinson, N.: Theory of Ordinary Differential Equations. McGraw-Hill, New York, 1955.
Everitt, W. N.: A note on the self-adjoint domains. Quart. J. Math. Oxford (2) 14 (1963), 41–45.
Everitt, W. N. and Wray, S. D.: A singular spectral identity and inequality involving the Dirichlet integral of an ordinary differential expression. To appear.
Sears, D. B.: Integral transforms and eigenfunction theory (I). Quart. J. Math. Oxford (2) 5 (1954), 47–58.
Titchmarsh, E. C.: Eigenfunction Expansions associated with Second-order Differential Equations, Part I, 2nd Edn. Oxford University Press, Oxford, 1962.
Weyl, H.: Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen. Math. Ann. 68 (1910), 220–269.
Wray, S. D.: An inequality involving a conditionally convergent Dirichlet integral of an ordinary differential expression. Utilitas Mathematica, in press.
Editor information
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
Wray, S.D. (1982). On a second-order differential expression and its Dirichlet integral. 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/BFb0065043
Download citation
DOI: https://doi.org/10.1007/BFb0065043
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