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

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基金项目: 国家自然科学基金

Some Existence Theorems of Common and Coincidence Solutions for a Class of Functional Equations Arising in Dynamic Programming

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.
- 动态规划 /
- 泛函方程组 /
- 公共解和重合解
Abstract: Same 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, hut also give an existence theorem of solutions for a class of functional equations suggested by Wang^[2,5] recently.
- dynamic programming /
- systems of functional equations /
- common and coincidence solutions

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