Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1997, v.4 no.2, pp.161-166
Oh, Young-Sun
An, Jeong-Hyang
Oh,,
Y.
, &
An,,
J.
(1997). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 4(2), 161-166.
Abstract
We obtained sufficient conditions for <TEX>$\phi$</TEX>(t)-stability and uniform <TEX>$\phi$</TEX>(t)-stability of the trivial solution of comparison differential system. we also investigated the corresponding stability concepts of the trivial solution of the differential system using the thoery of differential inequlities through cones and the method of conevalued Lyapunov functions.
- keywords
-
cone,
adjoint cone,
<tex> $\phi$</tex>(t)-equistability,
comparison differential system