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

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. © 2010 Pleiades Publishing, Ltd.

Number of issue
10
Language
English
Pages
1511-1515
Status
Published
Volume
46
Year
2010
Organizations
  • 1 Peoples' Friendship University of Russia, Moscow, Russian Federation
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