Hatvani László honlapja

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Cím:On the asymptotic stability in differential systems by Lyapunov direct method.
Szerző:Hatvani, L\'aszl\'o
Forrás:Lakshmikantham, V. (ed.), World congress of nonlinear analysts '92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 1341-1348 (1996). [ISBN 3-11-013215-X/hbk]
Nyelv:English
Absztrakt:In the first part of the paper sufficient conditions for the asymptotic stability of the zero solution of a non-autonomous functional differential equation with finite delay are given by using Lyapunov functionals with negative semidefinite derivatives. In the second part we formulate theorems on the asymptotic stability of the equilibrium of linear and nonlinear damped oscillators of one degree of freedom. 
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