Sulla stabilità asintotica ed instabilità

Alexandre Andreev

Rendiconti del Seminario Matematico della Università di Padova (1986)

  • Volume: 75, page 235-245
  • ISSN: 0041-8994

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Andreev, Alexandre. "Sulla stabilità asintotica ed instabilità." Rendiconti del Seminario Matematico della Università di Padova 75 (1986): 235-245. <http://eudml.org/doc/108023>.

@article{Andreev1986,
author = {Andreev, Alexandre},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {first order differential equation; nonautonomous system; Lyapunov functions with semidefinite derivative},
language = {ita},
pages = {235-245},
publisher = {Seminario Matematico of the University of Padua},
title = {Sulla stabilità asintotica ed instabilità},
url = {http://eudml.org/doc/108023},
volume = {75},
year = {1986},
}

TY - JOUR
AU - Andreev, Alexandre
TI - Sulla stabilità asintotica ed instabilità
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1986
PB - Seminario Matematico of the University of Padua
VL - 75
SP - 235
EP - 245
LA - ita
KW - first order differential equation; nonautonomous system; Lyapunov functions with semidefinite derivative
UR - http://eudml.org/doc/108023
ER -

References

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  1. [1] E.A. Barbascin - N.N. Krasovskij, Sulla stabilità globale del moto (in russo), Doklady Akad. Nauk SSR, 36, no. 3, 1952. 
  2. [2] N.N. Krasovskij, Stability of motion, Chap. III, Sec. 14, 15, Stanford University Press, Stanford, California, 1963. 
  3. [3] V.M. Matrosov, On the stability of motion, PMM (J. appl. math. and mech.), 26 (1962). Zbl0123.05404MR153934
  4. [4] L. Salvatori, Sulla stabilità del movimento, Le Matematiche, 24 (1969). Zbl0195.38201MR412540
  5. [5] L. Salvadori, Famiglie ad un parametro di funzioni di Liapunov nello studio della stabilità, Symposia Math., 6 (1971). Zbl0243.34099MR279396
  6. [6] G.R. Sell, Nonautonomous differential equations and topological dynamics, Trans. Amer. Mat. Soc., 127 (1967). Zbl0189.39602
  7. [7] Z. Arstein, Topological dynamics of a ordinary differential equations, J. of Differ. Equations, 23 (1877). Zbl0353.34043
  8. [8] Z. Arstein, The limiting equations of nonautonomous ordinary differential equations, J. of Differ. Equations, 25 (1977). Zbl0358.34045MR442381
  9. [9] A.S. Andreev, Asymptotic stability and instability of nonautonomous systems, PMM (J. appl. math. and mech.), 43 (1979). Zbl0452.34044MR620695
  10. [10] D.R. Wakeman, An application of topological dynamics to obtain a new invariance property for nonautonomous ordinary differential equations, J. of Differ. Equations, 17 (1975). Zbl0431.34033MR385250
  11. [11] J.P. Lasalle, Stability of nonautonomous systems, Nonlinear Analysis, TMA, 1 (1976). Zbl0355.34037MR427759
  12. [12] N. Rouche - P. Abets - M. Laloy, Stability theory by Liapunov's direct method, Springer, Berlin, 1977. Zbl0364.34022
  13. [13] A.S. Andreev, Sulla stabilità asintotica ed instabilità della soluzione nulla di un sistema nonautonomo, PPM, 48 (1984). 
  14. [14] P. Bondi - V. Moauro - F. Visentin, Limiting equations in the stability problem, Nonlinear Analysis, TMA, 1 (1976). Zbl0349.34035MR594990
  15. [15] Z. Arstein, Uniform asymptotic stability via the limiting equations, J. of Differ. Equations, 27 (1978). Zbl0383.34037
  16. [16] A. Andreev, Sulla stabilità asintotica ed instabilità, Quad. no. 15/S dell'Istituto di Matematica « F. Enriques » di Milano, (1984). 
  17. [17] A.S. Oziraner, On asymptotic stability and instability relative to a part of variables, PMM (J. appl. math. and mech. ), 37 (1973). Zbl0295.34046MR344610

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