论文标题

二次铅笔的增生铅笔和应用的分解

A factorization of a quadratic pencils of accretive operators and applications

论文作者

Bouchelaghem, F., Benharrat, M.

论文摘要

对希尔伯特空间中的增生算子的二次铅笔进行了规范的分解。同样,我们在M核酸操作员及其摩尔式倒置之间建立了一些关系。作为应用程序,我们研究了严格解决方案的存在,独特性和最大规律性的结果,以在非均匀情况下完全抽象的二阶微分方程。本文结束了,以前的讨论中留下了一些问题。

A canonical factorization is given for a quadratic pencil of accretive operators in a Hilbert space. Also, we establish some relationships between an m-accretive operator and its Moore-Penorse inverse. As an application, we study a result of existence, uniqueness, and maximal regularity of the strict solution for complete abstract second order differential equation in the non-homogeneous case. The paper is concluded with some questions left open from the preceding discussions.

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