| Banach空间中n阶非线性微分积分方程初值问题解的存在与唯一性 |
| |
| 引用本文： | 柴国庆,李必文.Banach空间中n阶非线性微分积分方程初值问题解的存在与唯一性[J].数学杂志,2001,21(2):189-194. |
| |
| 作者姓名： | 柴国庆 李必文 |
| |
| 作者单位： | 湖北师范学院数学系 |
| |
| 基金项目： | 湖北省教委自然科学重点项目基金资助(98A040). |
| |
| 摘 要： | 用压缩映象原理研究Banach空间中定义在无界域上的n阶非线性Volterra型微分积分方程初值问题，获得了解的存在与唯一性及其迭代逼近新结果。
|
| 关 键 词： | 初值问题 不动点 非线性 Banach空间 微分积分方程 压缩映象 迭代逼近 |
| 文章编号： | 0255-7797(2001)02-0189-06 |
EXISTENCE AND UNIQUENESS OF THE SOLUTION OF IVP FOR N-TH ORDER NONLINEAR INTEGRAO-DIFFERENTIAL EQUATIONS IN BANACH SPACE |
| |
| Chai Guoqing,Li Biwen.EXISTENCE AND UNIQUENESS OF THE SOLUTION OF IVP FOR N-TH ORDER NONLINEAR INTEGRAO-DIFFERENTIAL EQUATIONS IN BANACH SPACE[J].Journal of Mathematics,2001,21(2):189-194. |
| |
| Authors: | Chai Guoqing Li Biwen |
| |
| Abstract: | This paper investigates intial value problem for n-th order nonlinear integro-differential equations of Volterra type on unbounded domains in Banach space by applying Banach principle of contraction, and the new results of existence and uniqueness and iterative approximation of the solution of IVP are obtained. |
| |
| Keywords: | Intergro-differential Initial value problem fixed point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
