Translations, Volume 5American Mathematical Society, 1962 - Mathematics Translations of articles on mathematics which appeared in various Russian mathematical journals. |
Contents
G Certain questions on the theory of the stability of motion in | 1 |
of Lyapunov | 298 |
systems of Lyapunov | 360 |
Copyright | |
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Common terms and phrases
according admits approximation arbitrary assume calculation chapter characteristic equation choose closed coefficients compact Consequently consider consideration constant construct contain continuous corresponding critical defined definite denote depend derivative determined differential equations dynamical system equations of disturbed examine example exists expansions expression fact finite functions given holds independent inequality initial integral curves intersect introduced least Liapounoff limit linear lines means method Moreover motion is unstable necessary negative neighborhood obtain periodic periodic functions periodic solution positive possessing possible powers problem properties proved quantities reduce to zero region replace represent respect roots satisfy singular points solution space stable substitution sufficiently small theorem theory tion trajectory transformation undisturbed motion uniformly bounded unperturbed motion values variables zero