On the stability of solutions of linear differential systems with slowly varying coefficients

Charles S. Kahane

Czechoslovak Mathematical Journal (1992)

  • Volume: 42, Issue: 4, page 715-726
  • ISSN: 0011-4642

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Kahane, Charles S.. "On the stability of solutions of linear differential systems with slowly varying coefficients." Czechoslovak Mathematical Journal 42.4 (1992): 715-726. <http://eudml.org/doc/31307>.

@article{Kahane1992,
author = {Kahane, Charles S.},
journal = {Czechoslovak Mathematical Journal},
keywords = {asymptotic stability; Lyapunov-like function},
language = {eng},
number = {4},
pages = {715-726},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the stability of solutions of linear differential systems with slowly varying coefficients},
url = {http://eudml.org/doc/31307},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Kahane, Charles S.
TI - On the stability of solutions of linear differential systems with slowly varying coefficients
JO - Czechoslovak Mathematical Journal
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 42
IS - 4
SP - 715
EP - 726
LA - eng
KW - asymptotic stability; Lyapunov-like function
UR - http://eudml.org/doc/31307
ER -

References

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  1. Introduction to Matrix Analysis, McGraw-Hill, New York, 1960. (1960) Zbl0124.01001MR0122820
  2. Un nouvo criterio di stabilità per soluzioni delle equazioni differenziali lineari, Ann Scoula Norm. Sup. Pisa (2) 9 (1940), 163–186. (1940) MR0004661
  3. Über die Abgrenzung der eigenwerte einer Matrix, Izv. Adad. Nauk SSSR 7 (1931), 749–754. (1931) 
  4. 10.1016/0022-247X(61)90007-5, J. Math. Anal. Appl. 3 (1961), 50–69. (1961) MR0153925DOI10.1016/0022-247X(61)90007-5
  5. Global stability criteria for differential systems, Osaka Math. J. 12 (1960), 305–317. (1960) MR0126019
  6. Non-Linear Differential Equations (translation from the Italian), Macmilian, New York, 1964. (1964) MR0177153
  7. Introduction to Functional Analysis, John Wiley, New York, 1958. (1958) Zbl0081.10202MR0098966

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