Title:
|
Phase matrix of linear differential systems (English) |
Author:
|
Došlý, Ondřej |
Language:
|
English |
Journal:
|
Časopis pro pěstování matematiky |
ISSN:
|
0528-2195 |
Volume:
|
110 |
Issue:
|
2 |
Year:
|
1985 |
Pages:
|
183-192 |
. |
Category:
|
math |
. |
MSC:
|
34C10 |
idZBL:
|
Zbl 0576.34032 |
idMR:
|
MR796568 |
DOI:
|
10.21136/CPM.1985.108587 |
. |
Date available:
|
2009-09-23T09:31:14Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108587 |
. |
Reference:
|
[1] C. D. Ahlbrand D. B. Hinton R. T. Lewis: The effect of variable change on oscillation and disconjugacy criteria with application to spectral theory.J. Math. Anal. Appl. 81 (1981) 234-277. MR 0618771 |
Reference:
|
[2] J. H. Barret: A Prüfer transformation for matrix differential equations.Proc. Amer. Math. Soc. 8 (1957) 510-518. MR 0087821 |
Reference:
|
[3] R. Bellman: Introduction to Matrix Analysis.McGraw-Hill New York 1960. Zbl 0124.01001, MR 0122820 |
Reference:
|
[4] O. Borůvka: Linear Differential Transformation of the Second Order.London 1971. MR 0463539 |
Reference:
|
[5] P. Hartman: Self-adjoint, nonoscillatory systems of ordinary, second order, linear equations.Duke Math. J. 24 (1957) 25-35. MR 0082591 |
Reference:
|
[6] M. Morse: A generalization of the Sturm separation and comparison theorem in n-space.Math. Ann. 103 (1935) 72-91. |
Reference:
|
[7] J. Radon: Zum problem von Lagrange.Abh. Math. Sem. Univ. Hamburg 6 (1928) 273 - 279. |
Reference:
|
[8] W. T. Reid: Ordinary Differential Equations.John Willey, New York 1971. Zbl 0212.10901, MR 0273082 |
Reference:
|
[9] R. L. Sternberg: Variational methods and nonoscillatory theorems for systems of differential equations.Duke Math. J. 19 (1952) 311-322. MR 0048668 |
. |