Geodesic
Controllable systems of partial differential equations
Applications of Mathematics, Tome 31 (1986) no. 1, pp. 41-53.

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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.
DOI : 10.21136/AM.1986.104183
Classification : 35B35, 35B37, 93C05, 93C20, 93D05
Keywords: stability; boundedness; controllable system of partial differential equations; Ljapunov's function 
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     author = {Tumajer, Franti\v{s}ek},
     title = {Controllable systems of partial differential equations},
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Tumajer, František. Controllable systems of partial differential equations. Applications of Mathematics, Tome 31 (1986) no. 1, pp. 41-53. doi : 10.21136/AM.1986.104183. http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104183/

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