时标上二阶周期边值问题解的存在性

Existence of Solutions of Second-order Periodic Boundary Value Problems on Time Scales

研究了时标上二阶周期边值问题极值解的存在性。利用直接分析法得到了一个比较性结果,应用此结果和单调迭代技术得到周期边值问题存在极大解和极小解的充分条件。特别地,所得结果推广了一些已有的结论。

In this paper, the author proves a new comparison result and develops the monotone iterative technique to show the existence of extremal solutions of periodic boundary value problems for second-order nonlinear differential equations on time scales. The obtained results generalize some known results.