On the Asymptotic Stability for Nonlinear Oscillators with Time-Dependent Damping

Author:

Hatvani L.ORCID

Funder

OTKA

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference26 articles.

1. Artstein, Z., Infante, E.F.: On the asymptotic stability of oscillators with unbounded damping. Quart. Appl. Math. 34, 195–199 (1976/77)

2. Ballieu, R.J., Peiffer, K.: Attractivity of the origin for the equation $$\ddot{x}+f(t, x, \dot{x})|\dot{x}|^\alpha \dot{x}+g(x)=0$$ x ¨ + f ( t , x , x ˙ ) | x ˙ | α x ˙ + g ( x ) = 0 . J. Math. Anal. Appl. 65, 321–332 (1978)

3. Hardy, G.H., Littlewood, J.E., Pólya, G.: Inequalities, 2d edn. University Press, Cambridge (1952)

4. Hartman, P.: Ordinary Differential Equations. Birkhäuser, Boston (1982)

5. Hatvani, L.: A generalization of the Barbashin-Krasovskij theorems to the partial stability in nonautonomous systems. In: Farkas, M. (ed.) Qualitative Theory of Differential Equations, Vol. I, II (Szeged, 1979), 381–409, Colloq. Math. Soc. János Bolyai, vol. 30, North-Holland, Amsterdam-New York (1981)

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