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Specific features of the analysis of initial and boundary value problems for polynomial systems

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Abstract

We suggest a constructive method for qualitative analysis of initial and many-point boundary value problems for nonautonomous systems of ordinary differential equations with polynomial matrix. Airy, Bessel, and Hermite equations and a number of applied problems, for example, the equation of gyro motion at the spin-up stage, can be reduced to such systems. We obtain efficient stability criteria for these systems. The results supplement and refine earlierknown ones.

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References

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia, Moscow, Russia

    Yu. A. Konyaev, V. I. Bezyaev & E. Yu. Romanova

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  1. Yu. A. Konyaev
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  2. V. I. Bezyaev
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  3. E. Yu. Romanova
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Additional information

Original Russian Text © Yu.A. Konyaev, V.I. Bezyaev, E.Yu. Romanova, 2010, published in Differentsial’nye Uravneniya, 2010, Vol. 46, No. 10, pp. 1508–1512.

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Konyaev, Y.A., Bezyaev, V.I. & Romanova, E.Y. Specific features of the analysis of initial and boundary value problems for polynomial systems. Diff Equat 46, 1511–1515 (2010). https://doi.org/10.1134/S0012266110100162

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  • DOI: https://doi.org/10.1134/S0012266110100162

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