Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 9 Issue 3
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- Pages.579-591
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- 1994
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
STABILITIES IN DIFFERENTIAL SYSTEMS
- Park, Sung-Kyu (Department of Mathematics, Chungnam National University, Taejon 305-764)
- Published : 1994.07.01
Abstract
We consider the nonlinear nonautonomous differential system $$(1) x' = f(t,x), x(t_0) = x_0,$$ where $f \in C(R^+ \times R^n, R^n)$ and $R^+ = [0, \infty}$. We assume that the Jacobian matrix $f_x = \partail f/\partial x$ exists and is continuous on $R^+ \times R^n$ and that $f(t,0) \equiv 0$. The symbol $
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