论文标题
电力转换仿期系统的独特解决方案
Unique Solutions to Power-Transformed Affine Systems
论文作者
论文摘要
$ x =（a x^s）^{1/s} + b $的系统在一系列经济，金融和控制问题中都出现，其中$ a $是在实现函数（或向量）（或向量）和$ s $的线性运算符和$ s $的线性运算符。在这些应用中，注意力集中在积极解决方案上。我们在$ a $ a和$ b $的条件下，简单而完整地表征了积极解决方案的独特性，这意味着积极。
Systems of the form $x = (A x^s)^{1/s} + b$ arise in a range of economic, financial and control problems, where $A$ is a linear operator acting on a space of real-valued functions (or vectors) and $s$ is a nonzero real value. In these applications, attention is focused on positive solutions. We provide a simple and complete characterization of existence and uniqueness of positive solutions under conditions on $A$ and $b$ that imply positivity.
