Abstract
We establish sufficient conditions for the Lyapunov instability of the trivial solution of a nonautonomous equation of thenth order in the case where its limit characteristic equation has a multiple zero root. The instability is determined by nonlinear terms.
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References
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Additional information
Odessa University, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 6, pp. 835–841, June, 1999.
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Vitrichenko, I.E. On the instability of one nonautonomous essentially nonlinear equation of thenth order. Ukr Math J 51, 934–941 (1999). https://doi.org/10.1007/BF02591980
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DOI: https://doi.org/10.1007/BF02591980