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

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