【摘要】 利用半序方法和单调迭代研究了Banach空间中混合积分微分方程周期问题解的存在性、最大解、最小解与相应的迭代逼近序列。所得结果仅使用了上解或下解单独存在的条件,推广和改进了某些已知结果。更多还原

【Abstract】 The exsitence of soultions of periodic boundary value problem for nonlinear integro-differential equations of mixed type in Banach spaces were studied by using partial order method and the monotone iterative method when only exsitence of one upper solution or one lower solution and some other condtions.And its maximal and minimal solutions were obtained.The results presented extend and improve the recent results.更多还原