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

Autor:	V. I. Bezyaev, E. Yu. Romanova, Yu. A. Konyaev
Rok vydání:	2010
Předmět:	Polynomial Partial differential equation Stable polynomial General Mathematics Ordinary differential equation Mathematical analysis Mathematics::Classical Analysis and ODEs Boundary value problem Analysis Polynomial matrix Characteristic polynomial Mathematics Matrix polynomial
Zdroj:	Differential Equations. 46:1511-1515
ISSN:	1608-3083 0012-2661
DOI:	10.1134/s0012266110100162
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::754ce89d07f230b18b5656d558a97fa3 https://doi.org/10.1134/s0012266110100162 Zobrazit plný text záznamu Plný text ve formátu PDF