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Asymptotic behavior of extremal solutions and structure of extremal norms of linear differential inclusions of order three

✍ Scribed by N.E. Barabanov

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
160 KB
Volume
428
Category
Article
ISSN
0024-3795

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✦ Synopsis

Asymptotic properties of extremal solutions of linear inclusions of order three with zero Lyapunov exponent are investigated. Under certain conditions it is shown that all extremal solutions of such inclusions tend to the same (up to a multiplicative factor) solution, which is central symmetric. The structure of the convex set of extremal norm is studied. A number of extremal points of this set are described.

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