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| Banach空间中非线性积-微分方程组唯一解的存在性 | |
| 引用本文： | 王国涛,徐海勇,宋光兴,赵以安.Banach空间中非线性积-微分方程组唯一解的存在性[J].应用泛函分析学报,2009,11(4):318-324. |
| 作者姓名： | 王国涛 徐海勇 宋光兴 赵以安 |
| 作者单位： | 1. 山西师范大学数学与计算机学院,临汾,041004;中国石油大学,数学与计算科学学院,青岛,266555 2. 宁波大学科技学院,宁波,315211 3. 中国石油大学,数学与计算科学学院,青岛,266555 |
| 摘 要： | 利用新的比较结果和半序方法，研究TBanach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． |
| 关 键 词： | 非线性二阶积-微分方程组 迭代序列 Banach空间 唯一解 |
Solutions of Initial Value Problems for Systems of Nonlinear Integro-differential Equations in Banach Spaces |
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| WANG Guo-tao,XU Hai-yong,SONG Guang-xing,ZHAO Yi-an.Solutions of Initial Value Problems for Systems of Nonlinear Integro-differential Equations in Banach Spaces[J].Acta Analysis Functionalis Applicata,2009,11(4):318-324. | |
| Authors: | WANG Guo-tao XU Hai-yong SONG Guang-xing ZHAO Yi-an |
| Institution: | 1. Department of Mathematics and Computational Science, Shanxi Normal University, Linfen 041004, China; 2. College of Science ＆ Technology, Ningbo University, Ningbo 315211, China ;3. Department of Mathematics and Computational Science, China University of Petroleum Qingdao 266555, China) |
| Abstract: | 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. |
| Keywords: | systems of nonlinear second-order integro-differential equations initial value problems Banaeh spaces the unique solution |
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