节点文献
右端是Carathéodory函数的二阶积分微分方程的周期边值问题
Periodic Boundary Value Problems for Second Order Integrodifferential Equations with Caratheodory Functions
【摘要】 考虑二阶Volterra型的积分微分方程的周期边值问题,其中右端函数f满足Carathe-odory条件,推广上、下解法和单调迭代方法,得到了介于下、上解之间的解及最大和最小解的存在性。
【Abstract】 The periodic boundary value problem for second order Volterra type integrodifferential equations,where right-side function f satisfies Caratheodory condition,is studied.The method of lower and upper solutions and monotone iterative technique was generalized to obtain the existence of solutions between lower and upper solutions and maximal and minimal solutions.
【关键词】 周期边值问题;
广义上、下解;
单调迭代方法;
【Key words】 periodic boundary value problem; generalized upper and lower solutions; monotone iterative technique;
【Key words】 periodic boundary value problem; generalized upper and lower solutions; monotone iterative technique;
【基金】 北京联合大学中青年骨干教师项目资助,北京联合大学校级科研项目(ZK201011X)
- 【文献出处】 北京联合大学学报(自然科学版) ,Journal of Beijing Union University(Natural Sciences) , 编辑部邮箱 ,2011年02期
- 【分类号】O175.8
- 【下载频次】31