Stability and boundedness of controllable continuous flows

František Tumajer

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Displaying similar documents to “Stability and boundedness of controllable continuous flows”

Controllable systems of partial differential equations

František Tumajer (1986)

Aplikace matematiky

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In the paper definitions of various kinds of stability and boundedness of solutions of linear controllable systems of partial differential equations are introduced and their interconnections are derived. By means of Ljapunov's functions theorems are proved which give necessary and sufficient conditions for particular kinds of stability and boundedness of the solutions.

The relation between a flow and its discretization

Michal Fečkan (1992)

Mathematica Slovaca

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Dilating mappings, implicit functions and fixed point theorems in finite-dimensional spaces

M. Altman (1970)

Fundamenta Mathematicae

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A Basic Fixed Point Theorem

Lech Pasicki (2006)

Bulletin of the Polish Academy of Sciences. Mathematics

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The paper contains a fixed point theorem for stable mappings in metric discus spaces (Theorem 10). A consequence is Theorem 11 which is a far-reaching extension of the fundamental result of Browder, Göhde and Kirk for non-expansive mappings.