Application of the direct method of Lyapunov to the analysis of integral sets |
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| Authors: | A O Ignat'ev |
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| Institution: | (1) Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk |
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| Abstract: | The concepts are defined of the stability, attraction, and asymptotic stability of the integral sets of systems of ordinary differential equations. With the use of the second method of Lyapunov, a number of theorems are proved concerning the stability of integral sets.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 10, pp. 1342–1348, October, 1992. |
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