Stability Theorem for a Class of Nonautonomous Neutral Differential Equations with Unbounded Delay
- Haiping, Ye
- Guozhu, Gao
DOIAbstract
AbstractConsider the one-dimensional nonautonomous neutral differential equation ddt[xt−ft,xpt]+gt,xqt=0, t≥t0, where p,q:[t0,∞)→R are continuous and strictly increasing, p(t)<t,q(t)<t for all t≥t0, and xg(t,x)≥0 for t≥t0, x∈R. In this paper, the authors obtain sufficient conditions for the zero solution of this equation with unbounded delay to be uniformly stable as well as asymptotically stable
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