Disequilibrium Dynamics
研究了微分方程向量场不连续的非均衡动力学问题,利用Filippov解证明了滑动轨迹的存在唯一性,并将定理应用于简单开放经济的动态行为分析。
Discontinuities in the vector field of differential equations are a typical characteristic of disequilibrium dynamics. One way of co ping with this problem is offered by the Filippov solution. The autho rs prove existence and uniqueness of a Filappov solution for a so-cal led sliding trajectory under mild and economically reasonable conditi ons. Some theorems are established that may help one to gain a better understanding of non-Walrasian processes. The theorems are then appl ied to study the dynamic behavior of a simple open economy. Copyright 1988 by The editors of the Scandinavian Journal of Economics.