Existence of Multiple Positive Solutions for Third-Order Three-Point Boundary Value Problem

In this paper, we study the existence of positive solutions for a class of third-order three-point boundary value problem. By employing the fixed point theorem on cone, some new criteria to ensure the three-point boundary value problem has at least three positive solutions are obtained. An example illustrating our main result is given. Moreover, some previous results will be improved significantly in our paper.

具有脉冲的非线性耦合积分–微分系统的周期性

该文研究了具有脉冲的非线性耦合积分—微分系统的周期性。利用Schauder不动点定理,证明了具有脉冲的非线性耦合积分—微分系统至少存在一个周期解和一个渐近周期解,我们的结果推广和改进了相关文献的结果。