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Critical cases of stability of one nonautonomous essentially nonlinear equation of the nth order

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Abstract

We establish sufficient conditions of the Lyapunov stability of the trivial solution of a nonautonomous ordinary differential equation of the nth order in the case where its characteristic equation has a multiple zero root. The stability is determined by nonlinear terms.

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References

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Authors
  1. I. E. Vitrichenko
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Additional information

Odessa University, Odessa. Translated from Ukrainskii Matematicheskii, Zhurnal, Vol. 49, No. 5, pp. 720–724, May, 1997.

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Vitrichenko, I.E. Critical cases of stability of one nonautonomous essentially nonlinear equation of the nth order. Ukr Math J 49, 805–811 (1997). https://doi.org/10.1007/BF02486462

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  • DOI: https://doi.org/10.1007/BF02486462

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