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Artstein, Zvi

Uniform asymptotic stability via the limiting equations. (English) Zbl 0383.34037

J. Differ. Equations 27, 172-189 (1978).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0383.34037

Cited in 2 Reviews
Cited in 38 Documents

MSC:

34D20 Stability of solutions to ordinary differential equations
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References:

[1] Arnstein, Z., Topological dynamics of an ordinary differential equation, J. Differential Equations, 23, 216-223 (1977) · Zbl 0353.34043
[2] Artstein, Z., Topological dynamics of ordinary differential equations and Kurzweil equations, J. Differential Equations, 23, 224-243 (1977) · Zbl 0353.34044
[3] Artstein, Z., The limiting equations of nonautonomous ordinary differential equations, J. Differential Equations, 25, 184-202 (1977) · Zbl 0358.34045
[4] Z. Artstein; Z. Artstein · Zbl 0358.34045
[5] Conley, C. C.; Miller, R. K., Asymptotic stability without uniform stability: Almost periodic coefficients, J. Differential Equations, 1, 333-336 (1965) · Zbl 0145.11401
[6] LaSalle, J. P., The stability of synamical systems, (CBMS Regional Conference Series in Applied Mathematics 25 (1976), SIAM: SIAM Philadelphia) · Zbl 0355.34037
[7] LaSalle, J. P., Stability of nonautonomous systems, J. Nonlinear Analysis, Theory, Methods and Appl., 1, 83-90 (1976) · Zbl 0355.34037
[8] Morgan, A. P.; Narenda, K. S., On the uniform asymptotic stability of certain linear non-autonomous differential equations, SIAM J. Control, 15, 5-24 (1977) · Zbl 0388.34030
[9] Sell, G. R., Nonautonomous differential equations and topological dynamics, I and II, Trans. Amer. Math. Soc., 127, 241-283 (1967) · Zbl 0189.39602
[10] Strauss, A.; Yorke, J. A., Perturbation theorems for ordinary differential equations, J. Differential Equations, 3, 15-30 (1967) · Zbl 0189.38701
[11] Yoshizawa, T., Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions, (Applied Mathematics Series, No. 14 (1975), Springer-Verlag: Springer-Verlag New York) · Zbl 0183.09602
[12] A. Morgan; A. Morgan
[13] Haddock, J. R.; Parrott, M. E., Necessary and Sufficient Conditions for Uniform Asymptotic Stability Using a One-Parameter Family of Liapunov Functions, (Preprint, rapport no. 94 (September 1976), Institute de Mathematique, Universite Catholique de Louvain)
[14] P. Bondi, V. Moauro, and F. VisentinJ. Nonlinear Analysis, Theory Methods and Appl.; P. Bondi, V. Moauro, and F. VisentinJ. Nonlinear Analysis, Theory Methods and Appl. · Zbl 0349.34035
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