一类重特征方程柯西问题的存在唯一性  

EXISTENCE AND UNIQUENESS IN CAUCHY PROBLEM FOR A CLASS OF DIFFERENTIAL EQUATIONS WITH DOUBLE CHARACTERISTICS

作　　者：张栓举[1] 屈长征[2] 

机构地区：[1]西安建筑科技大学 [2]西北大学

出　　处：《纯粹数学与应用数学》1996年第2期89-95,共7页Pure and Applied Mathematics

基　　金：国家自然科学基金

摘　　要：讨论了一类高维重特征方程柯西问题存在唯一性中的离散现象，证明了当方程的参数取某些值时存在唯一性有离散现象发生。This paper discusses the discrete phenomena in existence and uniqueness in Cauchy problem for a class of higher dimensional differential equations with double characteristics It is shown that the discrete phenomena will be produced in existence and uniqueness when the parameter takes certain values The relationship between existence , uniqueness and Riemann problem is established

关 键 词：重特征方程 柯西问题 唯一性 存在性 初值问题 

分 类 号：O175.8[理学—数学]