Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1997, v.4 no.2, pp.161-166
Oh, Young-Sun
An, Jeong-Hyang
Oh,,
Y.
, &
An,,
J.
(1997). . , 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