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。
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.
出处
《北京联合大学学报》
CAS
2011年第2期63-67,共5页
Journal of Beijing Union University
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)
关键词
周期边值问题
广义上、下解
单调迭代方法
periodic boundary value problem
generalized upper and lower solutions
monotone iterative technique
