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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
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Category: math
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MSC: 34A30
MSC: 34D20
idZBL: Zbl 0779.34043
idMR: MR1182202
DOI: 10.21136/CMJ.1992.128360
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Date available: 2009-09-24T09:26:00Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/128360
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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
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