摘要
利用L-拟上下解方法和混合单调迭代法,通过建立一个新的积分微分不等式,研究了Banach空间中积分微分方程周期边值问题解的存在唯一性,并给出了解的迭代序列和误差估计式.
The existence and uniqueness of solutions for periodic boundary value problems of nonlinear integro-differential equations in Banach spaces are investigated, by establishing a differential-integral inequality and using the method of L-quasi-upper and lower solutions and the mixed monotone iterative technique. Moreover, the error estimate of iterative sequence of proximation solutions is given.
出处
《西北师范大学学报（自然科学版）》
CAS
2007年第4期6-9,16,共5页
Journal of Northwest Normal University(Natural Science)
基金
甘肃省高等学校研究生导师科研资助项目(0710-01)
陇东学院科研基金资助项目(XYZK0608)
关键词
积分微分方程
L-拟上下解
混合单调迭代法
周期边值问题
integro- differential equation
L-quasi-upper and lower solution
mixed monotone iterative technique
periodic boundary value problem
