Abstract
We obtain sufficient conditions for the Lyapunov stability of the trivial solution of a nonautonomousnth-order equation in the case where the root of the boundary characteristic equation is equal to zero and has multiplicity greater than one.
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Translated from Ukrainskii Matematicheskii Zhumal, Vol. 47, No. 8, pp. 1138–1143, August, 1995.
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Vitrichenko, I.E. On stability of annth-order equation in a critical case. Ukr Math J 47, 1301–1307 (1995). https://doi.org/10.1007/BF01057719
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DOI: https://doi.org/10.1007/BF01057719