Title:
|
On the stability of solutions of linear differential systems with slowly varying coefficients (English) |
Author:
|
Kahane, Charles S. |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
42 |
Issue:
|
4 |
Year:
|
1992 |
Pages:
|
715-726 |
. |
Category:
|
math |
. |
MSC:
|
34A30 |
MSC:
|
34D20 |
idZBL:
|
Zbl 0779.34043 |
idMR:
|
MR1182202 |
DOI:
|
10.21136/CMJ.1992.128360 |
. |
Date available:
|
2009-09-24T09:26:00Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128360 |
. |
Reference:
|
[1] R. Bellman: Introduction to Matrix Analysis.McGraw-Hill, New York, 1960. Zbl 0124.01001, MR 0122820 |
Reference:
|
[2] L. Cesari: Un nouvo criterio di stabilità per soluzioni delle equazioni differenziali lineari.Ann Scoula Norm. Sup. Pisa (2) 9 (1940), 163–186. MR 0004661 |
Reference:
|
[3] S. Gerschgorin: Über die Abgrenzung der eigenwerte einer Matrix.Izv. Adad. Nauk SSSR 7 (1931), 749–754. |
Reference:
|
[4] J. K. Hale and A. P. Stokes: Conditions for the stability of nonautonomous differential equations.J. Math. Anal. Appl. 3 (1961), 50–69. MR 0153925, 10.1016/0022-247X(61)90007-5 |
Reference:
|
[5] L. Markus and H. Yamabe: Global stability criteria for differential systems.Osaka Math. J. 12 (1960), 305–317. MR 0126019 |
Reference:
|
[6] G. Sansone and R. Conti: Non-Linear Differential Equations (translation from the Italian).Macmilian, New York, 1964. MR 0177153 |
Reference:
|
[7] A. E. Taylor: Introduction to Functional Analysis.John Wiley, New York, 1958. Zbl 0081.10202, MR 0098966 |
. |