Stability of differential systems on the first approach.
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Keywords:
first approach, theorem of Lyapunov about stability,Abstract
In the article we consider linear system of differential equations in critical cases of characteristic exponents of Lyapunov. Linear system is investigated at small disturbances. Exponential stability of the trivial solution of nonlinear system of the differential equations on the first approach relatively to some monotonously increasing function is proved .References
[1]Aldibekov T.M. Analog of the theorem of Lyapunov about stability on the first approach // the Differential equations. – 2006. – Vol. 42, No. 6. – Page 859-860. – R.Rus. 06.11- 13B.188.
[2]Aldibekov T.M. About stability on the first approach // Modern problems of science and education. – M, 2008. – No.– Page 133.
[3]Demidovich B.P. Lectures on the mathematical theory of stability. // – M, 1967. – 472 pages.
[2]Aldibekov T.M. About stability on the first approach // Modern problems of science and education. – M, 2008. – No.– Page 133.
[3]Demidovich B.P. Lectures on the mathematical theory of stability. // – M, 1967. – 472 pages.
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Aldibekov, T. M., & Aldazharova, M. M. (2012). Stability of differential systems on the first approach. Journal of Mathematics, Mechanics and Computer Science, 72(1), 3–6. Retrieved from https://bm.kaznu.kz/index.php/kaznu/article/view/121
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Mathematics
