论文标题
库奇问题的分数秩序抽象进化方程
Cauchy Problem for an abstract Evolution Equation of fractional order
论文作者
论文摘要
在本文中，我们将操作函数定义为一系列与代表复杂变量功能的泰勒级数相对应的运算符。在以前的论文中，我们考虑了函数在laurent系列中与无限主部分和有限的常规部分分解的情况。我们的核心挑战是改善这一结果，因为将整个功能视为满足增长规律性特殊条件的整个功能。作为应用程序，我们考虑了一个机会，可以扩大对第二个任期的条件，而不包含抽象希尔伯特空间中进化方程的时间变量。
In this paper, we define an operator function as a series of operators corresponding to the Taylor series representing the function of the complex variable. In previous papers, we considered the case when a function has a decomposition in the Laurent series with the infinite principal part and finite regular part. Our central challenge is to improve this result having considered as a regular part an entire function satisfying the special condition of the growth regularity. As an application we consider an opportunity to broaden the conditions imposed upon the second term not containing the time variable of the evolution equation in the abstract Hilbert space.
