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On the stability of a system of nonlinear differential equations in the critical case at $q$ pairs of imaginary roots
Journal: Mekhanika tverdogo tela (Vol.41, No. 1)Publication Date: 2011-12-15
Authors : S.R. Hambardzumyan;
Page : 149-153
Keywords : stability; critical cases; Lyapunov functions;
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Abstract
The stability by acting force of the zero solution of a $n$-th order nonlinear system in critical case of $q$ pairs of imaginary roots is studied. Theorem of the asymptotic stability by acting force of the trivial solution is proved. The illustrative example is proposed.
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