Title:
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On the limit-3 classification of the square of a second-order, linear differential expression (English) |
Author:
|
Everitt, William Norrie |
Author:
|
Giertz, Magnus |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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26 |
Issue:
|
4 |
Year:
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1976 |
Pages:
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653-665 |
. |
Category:
|
math |
. |
MSC:
|
34B25 |
idZBL:
|
Zbl 0363.34016 |
idMR:
|
MR0430398 |
DOI:
|
10.21136/CMJ.1976.101437 |
. |
Date available:
|
2008-06-09T14:21:10Z |
Last updated:
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2020-07-28 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/101437 |
. |
Reference:
|
[1] Choudhuri Jyoti, Everitt W. N.: On the square of a formally self-adjoint differential expression.J. Lond. Math. Soc. (2) 1 (1969) 661 - 673. MR 0248562, 10.1112/jlms/s2-1.1.661 |
Reference:
|
[2] Dunford N., Schwartz J. T.: Linear operators; Part II.(Interscience, New York 1955). |
Reference:
|
[3] Everitt W. N., Giertz M.: On some properties of the powers of a formally self-adjoint differential expression.Proc. Lond. Math. Soc. (3) 24 (1972) 149-170. Zbl 0243.34046, MR 0289841, 10.1112/plms/s3-24.1.149 |
Reference:
|
[4] Everitt W. N., Giertz M.: On the integrable-square classification of ordinary symmetric differential expressions.J. Lond. Math. Soc. (2) 10 (1975) 417-426. Zbl 0317.34013, MR 0377170, 10.1112/jlms/s2-10.4.417 |
Reference:
|
[5] Everitt W. N., Giertz M.: On the deficiency indices of powers of formally symmetric differential expressions.Spectral Theory and Differential Equations, Lecture Notes in Mathematics 448, Springer-Verlag, Berlin 1975. Zbl 0315.34010, MR 0450661 |
Reference:
|
[6] Kauffman R. M.: Polynomials and the limit point condition.Trans. Amer. Math. Soc. 201 (1975) 347-366. Zbl 0274.34019, MR 0358438, 10.1090/S0002-9947-1975-0358438-7 |
Reference:
|
[7] Kumar Krishna V.: The limit-2 case of the square of a second-order differential expression.J. London Math. Soc. 8 (1974) 134-138. MR 0338497 |
Reference:
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[8] Naimark M. A.: Linear differential operators: Part II.(Ungar, New York, 1968). Zbl 0227.34020, MR 0353061 |
Reference:
|
[9] Read T. T.: On the limit point condition for polynomials in a second order differential expression.Chalmers University of Göteborg and the University of Göteborg, Department of Mathematics No. 13 - 1974. MR 0372310 |
Reference:
|
[10] Zettl A.: The limit point and limit circle cases for polynomials in a differential operator.Proc. Royal Soc. Edinburgh 73A (1974/75) 301-306. MR 0379968 |
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