Banach空间中二阶积-微分方程初值问题的解  

The Solutions of Initial Value Problems for Second Order Integro-Differential Equations in Banach Spaces

作　　者：宋光兴[1] 

机构地区：[1]石油大学数学系,东营257061

出　　处：《数学学报（中文版）》2004年第1期71-78,共8页Acta Mathematica Sinica：Chinese Series

基　　金：石油大学(华东)校基金资助项目(Y000804)

摘　　要：利用半序方法和新的比较结果,研究了Banach空间中二阶积-微分方程初值问题的最大解、最小解、解的存在与相应解的迭代逼近.本文结果仅使用了下解或上解以及某些较弱的条件,并推广和改进了某些已知结果(见文[1-10]).By using the partial order method and some new comparison results, the maximal or minimal solutions, the unique solution and the iterative approximation of solutions of the initial value problem for nonlinear second order integro-differential equations in Banach spaces are investigated. In this paper, we require only a lower solution or an upper solution and some weaker conditions presented here, and we extend and improve some recent results (see [1-10]).

关 键 词：积-微分方程 解 单调迭代方法 

分 类 号：O177.91[理学—数学]