Instable Trivial Solution of Autonomous Differential Systems with Quadratic Right-Hand Sides in a Cone

The present investigation deals with global instability of a general n-dimensional system of ordinary differential equations with quadratic right-hand sides. The global instability of the zero solution in a given cone is proved by Chetaev's method, assuming that the matrix of linear terms has a...

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Bibliographic Details
Main Authors: D. Ya. Khusainov, J. Diblík, Z. Svoboda, Z. Šmarda
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/154916