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Banach空间二阶积-微分方程组初值问题
引用本文:宋光兴,王秀荣,排新颖,梁树霞.Banach空间二阶积-微分方程组初值问题[J].数学物理学报(A辑),2008,28(6).
作者姓名:宋光兴  王秀荣  排新颖  梁树霞
作者单位:中国石油大学数学系,山东东营257061
摘    要:该文利用新的比较结果研究Banach空间二阶积一微分方程组初值问题解的存在性.即使在有限维空间,其结果也是新的.

关 键 词:积-微分方程组    比较结果    Banach空间

Initial Value Problems for the Systems of Second Order Integro-differential Equations in Banach Space
Song Guangxing,Wang Xiurong,Pai Xinying,Liang Shuxia.Initial Value Problems for the Systems of Second Order Integro-differential Equations in Banach Space[J].Acta Mathematica Scientia,2008,28(6).
Authors:Song Guangxing  Wang Xiurong  Pai Xinying  Liang Shuxia
Abstract:In this paper,by use of new comparison result,the existence of solutions of initial value problems for the systems of second order integro-differential equations in Bandch spaces is discussed.The results are new even in finite dimensional spaces.
Keywords:System of integro-differential equation  Cone  Comparison result  Solution  Banach space  
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