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| ASYMPTOTIC STABILITY FOR A CLASS OF NONAUTONOMOUS NEUTRAL DIFFERENTIAL EQUATIONS |
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Citation： |
Yu Jianshe.ASYMPTOTIC STABILITY FOR A CLASS OF NONAUTONOMOUS NEUTRAL DIFFERENTIAL EQUATIONS[J].Chinese Annals of Mathematics B,1997,18(4):449~456 |
| Page view： 1171
Net amount： 958 |
Authors： |
Yu Jianshe; |
Foundation： |
the National Natural Science Foundation of China and the Excellent Youth Teacher Foundation of the State Education Commission of China |
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| Abstract： |
Consider the scalar nonlinear delay differential equation
$$\frac{d}{dt}[x(t)-f(t,x(t-\tau))] + g(t,x(t-\delta)) = 0,\ \ t\ge t_0,$$ where $\tau,\delta\in(0,\infty), f,g \in C([t_0,\infty)\times \R,\R)$ and $xg(t,x)\ge 0$ for $t\ge t_0, x\in \R.$ The author obtains sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable. |
Keywords： |
Neutral equation, Uniform stability, Asymptotic stability |
Classification： |
34K15, 34C10 |
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