Banach空间中非线性积-微分方程组唯一解的存在性  

Solutions of Initial Value Problems for Systems of Nonlinear Integro-differential Equations in Banach Spaces

作　　者：王国涛[1,2] 徐海勇[3] 宋光兴[2] 赵以安[2] 

机构地区：[1]山西师范大学数学与计算机学院,临汾041004 [2]中国石油大学数学与计算科学学院,青岛266555 [3]宁波大学科技学院,宁波315211

出　　处：《应用泛函分析学报》2009年第4期318-324,共7页Acta Analysis Functionalis Applicata

摘　　要：利用新的比较结果和半序方法,研究了B anach空间中二阶积-微分方程组初值问题解的存在唯一性及逼近解的迭代序列和误差估计.By establishing some new comparison results and using the partial order method, the maximal and minimal solutions, the unique solution and theiterative approcimation of solutions of the initial value problems for systems of nonlinear second-order integro-differential equations in Banach spaces are investigated. The results presented here essentially improve, generalize and unify some well-known results. An example illustrates the results obtained.

关 键 词：非线性二阶积-微分方程组 迭代序列 BANACH空间 唯一解 

分 类 号：O177.91[理学—数学]