Integral manifolds and the reduction principle in stability theory. III |
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| Authors: | Ya. S. Baris O. B. Lykova |
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| Affiliation: | (1) Gomel' University, Gomel', Belorussian SSR;(2) Institute of Mathematics of the Academy of Sciences of the Ukraine, Kiev |
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| Abstract: | It is shown how, with the help of approximate integral manifolds, to solve the reduction problem in stability theory in the nonsingular critical case. A generalization of the first fundamental Lyapunov-Malkin theorem in critical cases is obtained.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 10, pp. 1324–1329, October, 1991. |
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