从统一视角看 Yorke 与 Wright 的 3/2-稳定性定理
动力系统
2007-05-23 v2
摘要
我们考虑一类标量时滞微分方程 ，其非线性项 满足负反馈条件与有界性条件的组合。我们给出该类方程的全局稳定性判据，该判据特别地统一了针对 Yorke 型与 Wright 型方程所给出的著名的 3/2-条件。我们以若干应用例证我们的结果。
引用
@article{arxiv.math/0210453,
title = {Yorke and Wright 3/2-stability theorems from a unified point of view},
author = {E. Liz and V. Tkachenko and S. Trofimchuk},
journal= {arXiv preprint arXiv:math/0210453},
year = {2007}
}
备注
10 pages, accepted for publication in the Expanded Volume of DCDS, devoted to the fourth international conference on Dynamical Systems and Differential Equations, held at UNC at Wilmington, May 2002. Minor changes from the previous version