摘要
利用半序理论及单调迭代方法研究了实Banach空间中二阶非线性混合型积分-微分方程周期边值问题,其中相应的下解α和上解β不必满足边界条件:α′(0)≥α′(2π),β′(0)≤β′(2π).对于下解α与上解β的两种情形:α≤β或β≤α,均建立了最大解和最小解的存在性定理.
Combining the semi-order theory with monotone iterative technique,the PBVP for second order nonlinear integro-differential equations of mixed type in Banach space are investigated, where the corresponding lower and up-per solutions α,β do not necessarily satisfy the boundary conditions：α′（0）≥α′（2π）,β′（0）≤β′（2π）. For two situa-tions relative to lower and upper solutions α≤β or β≤α the existence theorems on their maximal and minimal solutions are established.
出处
《江苏师范大学学报（自然科学版）》
CAS
2013年第1期8-14,共7页
Journal of Jiangsu Normal University：Natural Science Edition
基金
国家自然科学基金资助项目(10771212)
关键词
周期边值问题
上下解
反向上下解
periodic boundary value problem（PBVP）
upper and lower solution
upper and lower solution in the re-versed order
