An asymptotic stability theorem for nonautonomous functional differential equations

Carlotta Maffei

Rendiconti del Seminario Matematico della Università di Padova (1983)

  • Volume: 70, page 99-108
  • ISSN: 0041-8994

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Maffei, Carlotta. "An asymptotic stability theorem for nonautonomous functional differential equations." Rendiconti del Seminario Matematico della Università di Padova 70 (1983): 99-108. <http://eudml.org/doc/107925>.

@article{Maffei1983,
author = {Maffei, Carlotta},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {functional differential equations; asymptotic stability; Lyapunov functionals; Matrosov theorems},
language = {eng},
pages = {99-108},
publisher = {Seminario Matematico of the University of Padua},
title = {An asymptotic stability theorem for nonautonomous functional differential equations},
url = {http://eudml.org/doc/107925},
volume = {70},
year = {1983},
}

TY - JOUR
AU - Maffei, Carlotta
TI - An asymptotic stability theorem for nonautonomous functional differential equations
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1983
PB - Seminario Matematico of the University of Padua
VL - 70
SP - 99
EP - 108
LA - eng
KW - functional differential equations; asymptotic stability; Lyapunov functionals; Matrosov theorems
UR - http://eudml.org/doc/107925
ER -

References

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  1. [1] Z. Artstein, The limiting equations of nonautonomous ordinary differential equations, Journal of Differential Equations, 25 (1977), pp. 184-203. Zbl0358.34045MR442381
  2. [2] Z. Artstein, Uniform asymptotic stability via the limiting equations, Journal of Differential Equations, 27 (1978), pp. 172-182. Zbl0383.34037MR466795
  3. [3] R. Driver, Ordinary and Delay Differential Equations, Appl. Math. Sciences, vol. 20, Springer Verlag, New York, 1977. Zbl0374.34001MR477368
  4. [4] J.K. Hale, Theory of Functional Differential Equations, Appl. Math. Sciences, vol. 3, Springer Verlag, New York, 1977. Zbl0352.34001MR508721
  5. [5] N. Ianiro - C. Maffei, Nonautonomous differential systems: several functions in the stability problem, Appl. Math. and Computations, 7 (1980), pp. 71-80. Zbl0433.34038MR575183
  6. [6] N. Ianiro - C. Maffei, On the asymptotic behavior of the nonlinear equation x + h(t, x) x + p2(t) f(x) = 0. Nonlinear Differential Equations: invariance, stability and bifurcation, Ed. P. DE MOTTONI and L. SALVADORI, Academic Press, (1981), pp. 175-182. Zbl0464.34037MR615099
  7. [7] N.N. Krasovskii, Stability of Motion, Stanford Univ. Press, Stanford, 1963. Zbl0109.06001MR147744
  8. [8] J.E. Mcshane, Integration, Princeton Univ. Press, 1944. Zbl0060.13010MR82536
  9. [9] V.M. Matrosov, On the stability of motion, Jour. ofAppl. Math. Mech., 26 (1962), pp. 1337-1353. Zbl0123.05404MR153934
  10. [10] V.R. Nosov, A criterion for Matrosov stability of functional differential equations with time-lag, Diff. Equations, 13 (1978), pp. 832-836. Zbl0395.34068
  11. [11] J.W. Palmer, Liapunov stability theory of nonautonomous functional differential equations, Preprint Brown University, 1978. 
  12. [12] L. Salvadori, Sulla stabilità del movimento, Le Matematiche (Catania), 24, N. 1 (1969). Zbl0195.38201MR412540

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