论文标题
延迟微分方程系统中的持久性和定期解决方案
Persistence and periodic solutions in systems of delay differential equations
论文作者
论文摘要
我们研究了与延迟微分方程相关的半动态系统。我们提供了一个简单的标准，以获得弱和强的持久性，并提供足够的条件来保证统一的持久性。此外，我们通过拓扑学位技术展示了非平凡的$ t $周期解决方案的存在。最后，我们证明，从某种意义上说，条件也是必要的。
We study semi-dynamical systems associated to delay differential equations. We give a simple criteria to obtain weak and strong persistence and provide sufficient conditions to guarantee uniform persistence. Moreover, we show the existence of non-trivial $T$-periodic solutions via topological degree techniques. Finally, we prove that, in some sense, the conditions are also necessary.
