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On the \(L^ 2\) nature of solutions of \(n\)th order symmetric differential equations and McLeod’s conjecture. (English) Zbl 0483.34014


MSC:

34A99 General theory for ordinary differential equations
47E05 General theory of ordinary differential operators
34E05 Asymptotic expansions of solutions to ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
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References:

[1] Coddington, Theory of Ordinary Differential Equations (1955) · Zbl 0064.33002
[2] DOI: 10.1137/0502001 · Zbl 0213.10303
[3] DOI: 10.1112/plms/s2-5.1.59 · JFM 38.0449.01
[4] Anikeeva, Uspehi Mat. Nauk. 32 pp 179– (1977)
[5] DOI: 10.1090/S0002-9947-1950-0034491-8
[6] Paris, Proc. Roy. Soc. Edinburgh Sect. A 85 pp 15– (1980) · Zbl 0429.34010
[7] Delerue, C. R. Acad. Sci. Paris 240 pp 912– (1950)
[8] Naimark, Linear Differential Operators (1968)
[9] Luke, Mathematical Functions and their Approximations (1975)
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[11] Kauffman, Lecture Notes in Mathematics 564 pp 259– (1976)
[12] DOI: 10.1017/S0305004100032400
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[14] DOI: 10.1098/rspa.1917.0035
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