On attractivity for nonautonomous systems
Author:
Xinzhi Liu
Journal:
Quart. Appl. Math. 51 (1993), 319-327
MSC:
Primary 34D20
DOI:
https://doi.org/10.1090/qam/1218371
MathSciNet review:
MR1218371
Full-text PDF Free Access
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Additional Information
E. A. Barbashin and N. N. Krasovskii, On global stability of motion, Dokl. Akad. Nauk SSSR 86, 453–456 (1952)
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- John R. Haddock, Stability theory for nonautonomous systems, Dynamical systems (Proc. Internat. Sympos., Brown Univ., Providence, R.I., 1974) Academic Press, New York, 1976, pp. 271–274. MR 0595700
- L. Hatvani, Attractivity theorems for non-autonomous systems of differential equations, Acta Sci. Math. (Szeged) 40 (1978), no. 3-4, 271–283. MR 515208
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T. Yoshizawa, Attractivity in non-autonomous systems, Internat. J. Non-linear Mech. 20, 519–528 (1985)
E. A. Barbashin and N. N. Krasovskii, On global stability of motion, Dokl. Akad. Nauk SSSR 86, 453–456 (1952)
T. A. Burton, An extension of Liapunov’s direct method, J. Math. Anal. Appl. 28, 545–552 (1960); 32, 689–691 (1970)
J. Haddock, Stability theory for nonautonomous systems, Dynamical Systems, Proc. International Symposium, Vol. II, Brown Univ., Providence, RI, 1974, L. Cesari, J. Hale, and J. LaSalle, eds., Academic Press, New York, 1976, pp. 599–603
L. Hatvani, Attractivity theorems for non-autonomous systems of differential equations, Acta Sci. Math. 40, 271–283 (1978)
L. Hatvani, On the uniform attractivity of solutions of ordinary differential equations by two Lyapunov functions, preprint, 1990
V. Lakshmikanthan and Xinzhi Liu, On asymptotic stability for non-autonomous differential systems, Nonlinear Anal. 13, 1181–1189 (1989)
J. P. LaSalle, The stability of dynamical systems, Regional Conference Series in Applied Mathematics, SIAM, Philadelphia, PA, 1976
J. P. LaSalle, Stability of nonautonomous systems, Nonlinear Anal. 1, 83–91 (1976)
Xinzhi Liu, Perturbing families of Lyapunov functions and asymptotic stability, J. Math. Phys. Sci. 23, 23–34 (1989)
V. M. Matrosov, On the theory of stability of motion, Prikl. Mat. Mekh. 26, 992–1002 (1962)
L. Salvadori, Some contributions to asymptotic stability theory, Ann. Soc. Sic. Bruxelles Sér. I 88, 183–194 (1974)
T. Yoshizawa, Asymptotic behavior of solutions of a system of differential equations, Contrib. Differential Equations 1, 371–387 (1963)
T. Yoshizawa, Attractivity in non-autonomous systems, Internat. J. Non-linear Mech. 20, 519–528 (1985)
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© Copyright 1993
American Mathematical Society
