| Title:
|
Spectral properties of general self-adjoint, even order differential operators (English) |
| Author:
|
Hilscher, Roman |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
50 |
| Issue:
|
2 |
| Year:
|
2000 |
| Pages:
|
165-186 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| MSC:
|
34L15 |
| MSC:
|
34L30 |
| MSC:
|
47E05 |
| idZBL:
|
Zbl 0995.34077 |
| idMR:
|
MR1763119 |
| . |
| Date available:
|
2009-09-25T11:43:55Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136774 |
| . |
| Reference:
|
[1] AHLBRANDT C. D.: Equivalent boundary value problems for self-adjoint differential systems.J. Differential Equations 9 (1971), 420-435. Zbl 0218.34020, MR 0284636 |
| Reference:
|
[2] AHLBRANDT C. D.-HINTON D. B.-LEWIS R. T.: The effect of variable change on oscillation and disconjugacy criteria with applications to spectral theory and asymptotic theory.J. Math. Anal. Appl. 81 (1981), 234-277. Zbl 0459.34018, MR 0618771 |
| Reference:
|
[3] COPPEL W. A.: Disconjugacy.Lectures Notes in Math. 220, Springer-Verlag, Berlin-Heidelberg, 1971. Zbl 0224.34003, MR 0460785 |
| Reference:
|
[4] DOŠLÝ O.: Transformations of linear Hamiltonian systems preserving oscillatory behaviour.Arch. Math. (Brno) 27b (1991), 211-219. Zbl 0764.34026, MR 1189218 |
| Reference:
|
[5] DOŠLÝ O.: Generalized reciprocity for self-adjoint linear differential equations.Arch. Math. (Brno) 31 (1995), 85-96. Zbl 0841.34032, MR 1357977 |
| Reference:
|
[6] DOŠLÝ O.: Oscillation and spectral properties of a class of singular self-adjoint differential operators.Math. Nachr. 188 (1997), 49-68. Zbl 0889.34029, MR 1484668 |
| Reference:
|
[7] DOŠLÝ O.-HILSCHER R.: Spectral properties of fourth order differential operators.Math. Bohemica 122 (1997), 153-168. Zbl 0894.34028, MR 1460945 |
| Reference:
|
[8] GLAZMAN I. M.: Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators.Israel Program for Scientific Тranslations; Daniel Davey & Co., Inc, Jerusalem; New York, 1965; 1966. Zbl 0143.36505, MR 0190800 |
| Reference:
|
[9] HARТMAN P.: Self-adjoint, non-oscillatory systems of ordinary, second order, linear differential equations.Duke J. Math. 24 (1956), 25-35. MR 0082591 |
| Reference:
|
[10] HINТON D. B.-LEWIS R. Т.: Discrete spectra criteria for singular differential operators with middle terms.Math. Proc Cambridge Philos. Soc 77 (1975), 337-347. MR 0367358 |
| Reference:
|
[11] NAIMARK M. A.: Linear Differential Operators.Part II, Ungar, New York, 1968. Zbl 0227.34020, MR 0353061 |
| Reference:
|
[12] REID W. Т.: Sturmian Theory for Ordinary Differential Equations.Springeг-Verlag, New York-Berlin-Heidelberg, 1980. Zbl 0459.34001, MR 0606199 |
| Reference:
|
[13] STERNBERG R. L.: Variational methods and nonoscillatory theorems for systems of differential equations.Duke J. Math. 19 (1952), 311-322. MR 0048668 |
| Reference:
|
[14] WEIDMANN J.: Linear Operators in Hilbert Spaces.New York-Berlin-Heidelberg, 1980. Zbl 0434.47001, MR 0566954 |
| . |
