The Moore-Penrose inverse of accretive operators with application to quadratic operator pencils-Reference-Cited by-同舟云学术

The Moore-Penrose inverse of accretive operators with application to quadratic operator pencils

Published:2022 Issue:7 Volume:36 Page:2475-2491
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Bouchelaghem Fairouz¹,Benharrat Mohammed²

Affiliation:

1. Département de Mathématiques, Univérsité Oran -Ahmed Ben Bella, Oran-El M’naouar, Oran, Algérie

2. Ecole Nationale Polytechnique d’Oran-Maurice Audin (Ex. ENSET d’Oran), Oran-El M’naouar, Oran, Algérie

Abstract

We establish some relationships between an m-accretive operator and its Moore-Penorse inverse. We derive some perturbation result the Moore-Penorse inverse of a maximal accretive operator. As an application we give a factorization theorem for a quadratic pencil of accretive operators. Also, we study a result of existence, uniqueness, and maximal regularity of the strict solution for complete abstract second order differential equation. Illustrative examples are also given.

Publisher

National Library of Serbia

Subject

General Mathematics

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