论文标题
均衡点，周期性解决方案和Brouwer固定点定理，用于凸和非Convex域
Equilibrium points, periodic solutions and the Brouwer fixed point theorem for convex and non-convex domains
论文作者
论文摘要
我们显示了Brouwer固定点定理的直接适用性，用于在满足边界处满足几何条件的通用域上的平衡点和定期解决方案。我们开发了一种任意约束集的一般方法，并将应用于凸形和星形域的情况。我们还为CID和Mawhin最近提出的问题提供了一个答案。
We show the direct applicability of the Brouwer fixed point theorem for the existence of equilibrium points and periodic solutions for differential systems on general domains satisfying geometric conditions at the boundary. We develop a general approach for arbitrary bound sets and present applications to the case of convex and star-shaped domains. We also provide an answer to a question raised in a recent paper of Cid and Mawhin.
