Abstract:
New concepts of radial and general radial stability, asymptotic stability, and complete instability of the zero solution of a differential system are introduced and studied. They turn out to be closely related to known similar properties of various types: Lyapunov, Perron and upper limit. Their connection with measures of these properties turns out to be especially meaningful.
Key words:differential system, linear system, Lyapunov stability, Perron stability, upper-limit stability, measure of stability, radial stability.
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