Title:
|
On transformations of self-adjoint linear differential systems (English) |
Author:
|
Došlý, Ondřej |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
21 |
Issue:
|
3 |
Year:
|
1985 |
Pages:
|
159-170 |
. |
Category:
|
math |
. |
MSC:
|
34C20 |
idZBL:
|
Zbl 0586.34034 |
idMR:
|
MR833126 |
. |
Date available:
|
2008-06-06T06:14:59Z |
Last updated:
|
2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107228 |
. |
Reference:
|
[1] C. D. Ahlbrand D. B. Hinton R. T. Lewis: The effect of variable change on oscillation and disconjugate criteria with application to spectral theory.J. Math. Anal. Appl. 81 (1981) 234-277. MR 0618771 |
Reference:
|
[2] E. Barvínek: Quadratic phases of differential equations y" + q(t)y = 0.Arch. Math. 8 (1972) 63-78. MR 0326037 |
Reference:
|
[3] R. Bellman: Introduction to matrix analysis.McGraw-Hill New York 1971. MR 0122820 |
Reference:
|
[4] D. F. St. Mary: On transformation and oscillation of linear differential systems.Canad. J. Math. 29 (1977) 392-399. Zbl 0332.34028, MR 0427744 |
Reference:
|
[5] O. Došlý: A phase matrix of linear differential systems.to appear in Časopis pro pěstování matematiky. MR 0796568 |
Reference:
|
[6] O. Došlý: The basic properties of phase matrices.to appear in Аrch. Math. |
Reference:
|
[7] V. А. Jakubovič: Uslovia kalebatělnosti i nekalebatělnosti linejnych kanoničeskich system.Dokl. Аkad. Nauk SSSR 124 (1959) 994-997. MR 0104880 |
Reference:
|
[8] J. Radon: Zum Problem von Lagrange.Аbh. Math. Sem. Univ. Hambuгg 6 (1928) 273-279. |
Reference:
|
[9] W. T. Reid: Ordinary Differential Equations.John Wiley, New Yoгk 1971. Zbl 0212.10901, MR 0273082 |
Reference:
|
[10] R. L. Sternberg: Variational methods and non-oscillatory theorems for systems of differential equations.Duke Math. J. 19 (1952) 311-322. MR 0048668 |
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