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动态规划中提出的一类泛函方程组公共解和重合解的存在性定理
引用本文:张石生.动态规划中提出的一类泛函方程组公共解和重合解的存在性定理[J].应用数学和力学,1991,12(1):31-37.
作者姓名:张石生
作者单位:四川大学
摘    要:本文讨论了动态规划中提出的一类更一般的泛函方程组公共解和重合解的存在性问题.本文的结果不仅包含引文6,7]中相应结果为特例,而且也对引文2~5]在讨论动态规划的原理和模型时所提出的一类新型的泛函方程给出解的存在性条件.

关 键 词:动态规划    泛函方程组    公共解和重合解
收稿时间:1989-12-05

Some Existence Theorems of Common and Coincidence Solutions for a Class of Functional Equations Arising in Dynamic Programming
Zhang Shi-sheng.Some Existence Theorems of Common and Coincidence Solutions for a Class of Functional Equations Arising in Dynamic Programming[J].Applied Mathematics and Mechanics,1991,12(1):31-37.
Authors:Zhang Shi-sheng
Institution:Department of Mathematics, Sichuan University, Chengdu
Abstract:Some existence theorems of common and coincidence solutions for a class of more general systems of functional equations arising in dynamic programming are shown. The results presented in this paper not only contain the corresponding results of 6,7] as special cases, but also give an existence theorem of solutions for a class of functional equations suggested by Wang2-5] recently.
Keywords:dynamic programming  systems of functional equations  common and coincidence solutions  
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