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On the limit-3 classification of the square of a second-order, linear differential expression. (English) Zbl 0363.34016


MSC:

34B20 Weyl theory and its generalizations for ordinary differential equations

References:

[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. · Zbl 0191.38402 · doi:10.1112/jlms/s2-1.1.661
[2] Dunford N., Schwartz J. T.: Linear operators; Part II. · Zbl 0128.34803
[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 · doi:10.1112/plms/s3-24.1.149
[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 · doi:10.1112/jlms/s2-10.4.417
[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
[6] Kauffman R. M.: Polynomials and the limit point condition. Trans. Amer. Math. Soc. 201 (1975) 347-366. · Zbl 0274.34019 · doi:10.2307/1997342
[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. · Zbl 0282.34016
[8] Naimark M. A.: Linear differential operators: Part II. · Zbl 0227.34020
[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.
[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.
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