常系数Riccati微分方程的超离散解  

Ultra-discrete Solution of Constant Coefficients Riccati Differential Equaions

作　　者：高敏 GAO Min(College of Computer and Control Enginering,Minjiang University,Fuzhou,Fufian 350108,China;Fujian Provincial Key Laboratory of Information Processing and Intelligent Control,Fuzhou,Fujian 350108,China)

机构地区：[1]闽江学院计算机与控制工程学院,福建福州350108 [2]福建省信息处理与智能控制重点实验室,福建福州350108

出　　处：《闽江学院学报》2018年第5期1-4,共4页Journal of Minjiang University

摘　　要：讨论常系数Riccati微分方程.导出此类方程的离散化及差分解,利用极限方法求其方程超离散解,并给出Lotka-Volterra系统的相关应用.The constant coefficients Riccati differential equation is discussed. The discretization of theequation and its differential solution are derived. Ultra-discrete solution of the equations are constructedby using the limiting procedure. The related application is also discussed in the Lotka-VoltelTa system.

关 键 词：Riccati徵分方程 常系数 超离散解 

分 类 号：O175.7[理学—数学]