Banach空间中含参数的抽象动力方程的解  

Solution of abstract kinetic eguations with parameters in banach spaces

作　　者：喻德坚[1] 刘华国[2] 刘小平[3] 

机构地区：[1]南昌大学经济系,江西南昌330047 [2]武汉化工学院计算机科学与工程系,湖北武汉430073 [3]株洲工学院基础课部,湖南株洲412008

出　　处：《武汉化工学院学报》2002年第4期86-87,共2页Journal of Wuhan Institute of Chemical Technology

摘　　要：在一般Banach空间中取值的向量值函数组成的Lebesgue空间中 ,用算子半群方法 ,研究了含参数的抽象动力方程的解 .以及抽象动力算子的部分实预解集 .得到了直接求解公式和间接地将非零边值问题转化为零边值问题的求解公式 ,特别对空间和“系数”算子取消了苛刻的限制 。kinetic equation with a paramater in a Lebesgue space which consists of functions with vector valued in a general Banach space and the real resolvent set of an abstract kinetic operator were studied; the formulas for solving the equation directly and indirectly after changing the non-zero value boundary problems into zerovalue biundary problems were obtained.It is very importamt to reduce strict restrictions of spaces problem for the slab geometry applied for a special example

关 键 词：Banch空间 含参数 抽象动力方程 解 抽象动力算子 线性算子半群 

分 类 号：O177.92[理学—数学] O177[理学—基础数学]