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 mot...

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Bibliographic Details
Published in:Differential equations 2010-10, Vol.46 (10), p.1511-1515
Main Authors: Konyaev, Yu. A., Bezyaev, V. I., Romanova, E. Yu
Format: Article
Language:English
Subjects:
Boundary value problems
Codes
Construction
Criteria
Difference and Functional Equations
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Polynomials
Qualitative analysis
Short Communications
Stability
Studies
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Summary: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.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266110100162