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Stability of one difference equation with positive coefficients

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Abstract

We consider a linear homogeneous difference equation of ordern with positive coefficients, which is presented in the normal form. We obtain necessary and sufficient conditions for the stability and asymptotic stability.

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References

  1. B. P. Demidovich,Lectures on the Mathematical Theory of Stability [in Russian], Nauka, Moscow (1967).

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  2. J. A. Selva and T. G. Halam, “Compensation and stability in nonlinear matrix models”,Math. Biosci.,110, No. 1, 67–101 (1992).

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Authors
  1. D. Ya. Khusainov
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  2. N. S. Nikiforova
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Additional information

Kiev University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 9, pp. 1276–1280, September, 1990.

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Khusainov, D.Y., Nikiforova, N.S. Stability of one difference equation with positive coefficients. Ukr Math J 51, 1435–1440 (1999). https://doi.org/10.1007/BF02593009

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  • DOI: https://doi.org/10.1007/BF02593009

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