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
R. ARENS, Operational calculus of linear relations. Pacific J. Math. 11, 1961, 9–23.
F.V. ATKINSON, W.N. EVERITT and K.S. ONG, On the m-coefficient of Weyl for a differential equation with an indefinite weight function. To appear in Proc. London Math. Soc.
CHR. BENNEWITZ, Symmetric relations on a Hilbert space. Proc. Conference on the Theory of Ordinary and Partial Differential Equations, Dundee, Scotland, March 1972, Springer Lecture Notes 280, 212–218.
CHR. BENNEWITZ, Spectral theory for pairs of partial differential expressions. Uppsala University, Department of Mathematics, Report 1974:3, 1–4.
CHR. BENNEWITZ, Remarks on the spectral theory for pairs of ordinary differential operators. Uppsala University, Department of Mathematics, Report 1974:4, 1–20.
FRED BRAUER, Spectral theory for the differential equation Lu = λMu. Canad. J. Math. 10, 1958, 431–446.
W.N. EVERITT, Singular Differential Equations I: The Even Order Case. Math. Ann. 156, 1964, 9–24.
W.N. EVERITT, Integrable-Square, Analytic Solutions of Odd-Order, Formally Symmetric, Ordinary Differential Equations. Proc. London Math. Soc. Third Series, XXV, July 1972, 156–182.
BERT KARLSSON, Generalization of a theorem of Everitt. To appear in Proc. London Math. Soc.
BERT KARLSSON, A compactness theorem for pairs of formally self-adjoint ordinary differential operators. Uppsala University, Mathematics Department, Report 1974:2, 1–10.
BERT KARLSSON, On the limit circle case for pairs of ordinary symmetric differential operators in a left-positive theory. To appear in Uppsala University, Mathematics Department Report.
H.-D. NIESSEN and A. SCHNEIDER, Integraltransformationen zu singulären S-hermiteschen Rand-Eigenwertproblemen. Manuscripta Math. 5, 1971, 133–145.
ÅKE PLEIJEL, Some remarks about the limit point and limit circle theory. Ark. Mat. 7:21, 1968, 543–550.
ÅKE PLEIJEL, Complementary remarks about the limit point and limit circle theory. Ark. Mat. 8:6, 1969, 45–47.
ÅKE PLEIJEL, Spectral theory for pairs of ordinary formally self-adjoint differential operators. Journal Indian Math. Soc. 34, 1970, 259–268.
ÅKE PLEIJEL, Green’s functions for pairs of formally selfadjoint ordinary differential operators. Conference on the Theory of Ordinary and Partial Differential Equations, Dundee, Scotland, March 1972, Springer Lecture Notes 280, 131–146.
ÅKE PLEIJEL, Generalized Weyl circles. Conference on the Theory of Ordinary and Partial Differential Equations, Dundee, Scotland, March 1974, Springer Lecture Notes. To appear.
Editor information
Rights and permissions
Copyright information
© 1975 Springer-Verlag
About this paper
Cite this paper
Pleijel, Å. (1975). A survey of spectral theory for pairs of ordinary differential operators. In: Everitt, W.N. (eds) Spectral Theory and Differential Equations. Lecture Notes in Mathematics, vol 448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067090
Download citation
DOI: https://doi.org/10.1007/BFb0067090
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07150-1
Online ISBN: 978-3-540-37444-2
eBook Packages: Springer Book Archive