# Hatvani László honlapja

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 Cím: On partial asymptotic stability and instability. III. Szerzõ: Hatvani, L. Forrás: Acta Sci. Math. 49, 157-167 (1985). Nyelv: English Absztrakt: The author considers partial asymptotic stability for the differential equation $$(E)\quad x'=X(x,t)\quad (t\in {\bbfR}\sb+,\quad x\in {\bbfR}\sp k).$$ The vector $x\in {\bbfR}\sp k$ is first decomposed as $x=(y,z)$ where $y\in {\bbfR}\sp m$, $z\in {\bbfR}\sp n$, $1\le m\le k$, $n=k-m$. Now let \$G\sb y(H)=\{(y,z)\in {\bbfR}\sp m\times {\bbfR}\sp n:\vert y\vert
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