论文标题
解决方案存在定理，用于有限的地平线最佳经济增长问题
Solution Existence Theorems for Finite Horizon Optimal Economic Growth Problems
论文作者
论文摘要
通过援引Filippov的存在定理来研究有限地平线最佳经济增长问题的解决方案存在，该定理从Cesari的专着（优化理论和应用，Springer-Verlag，纽约，纽约，1983年），对Bolza类型的状态限制进行了最佳控制问题。我们的结果不仅是针对一般问题，而且是针对具有生产函数的典型问题，并且效用函数是AK函数或Cobb-Douglas One。本文提出了一些关于有限地平线最佳经济增长问题的全球解决方案的规律性的开放问题和猜想。
The solution existence of finite horizon optimal economic growth problems is studied by invoking Filippov's Existence Theorem for optimal control problems with state constraints of the Bolza type from the monograph of L. Cesari [Optimization Theory and Applications, Springer-Verlag, New York, 1983]. Our results are obtained not only for general problems but also for typical ones with the production function and the utility function being either the AK function or the Cobb--Douglas one. Some open questions and conjectures about the regularity of the global solutions of finite horizon optimal economic growth problems are formulated in this paper.
