Displaying similar documents to “An algebraic treatment of flow diagrams and its application to generalized recursion theory”

Stability and boundedness of controllable continuous flows

František Tumajer (1988)

Aplikace matematiky

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In the paper the concept of a controllable continuous flow in a metric space is introduced as a generalization of a controllable system of differential equations in a Banach space, and various kinds of stability and of boundedness of this flow are defined. Theorems stating necessary and sufficient conditions for particular kinds of stability and boundedness are formulated in terms of Ljapunov functions.