Currently displaying 1 – 8 of 8

Showing per page

Order by Relevance | Title | Year of publication

Stability and boundedness of controllable continuous flows

František Tumajer — 1988

Aplikace matematiky

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.

Controllable systems of partial differential equations

František Tumajer — 1986

Aplikace matematiky

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 fixed point theorem and the boundedness of solutions of differential equations in the Banach space

František Tumajer — 1993

Mathematica Bohemica

The properties of solutions of the nonlinear differential equation x ' = A ( s ) x + f ( s , x ) in a Banach space and of the special case of the homogeneous linear differential equation x ' = A ( s ) x are studied. Theorems and conditions guaranteeing boundedness of the solution of the nonlinear equation are given on the assumption that the solutions of the linear homogeneous equation have certain properties.

Page 1

Download Results (CSV)