Inertia of operator polynomials and stability of differential equations
type: Item
instance of: scholarly article
title: Inertia of operator polynomials and stability of differential equations
zbMATH Open document ID: 0824.47014
author: Leonid Lerer
author: Leiba Rodman
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-11-09T00:00:00Z
review text: The authors extend to operator polynomials some inertia theorems obtained recently for linear bounded operators in a Hilbert space. They apply these theorems to study dichotomy and stability of high degree ordinary differential equations with operator coefficients. The concept of generalized Bezoutian is introduced in the framework of operator polynomials and is used to obtain the main results.
Mathematics Subject Classification ID: 47A56
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 785133
zbMATH Keywords: operator polynomials
zbMATH Keywords: inertia theorems
zbMATH Keywords: dichotomy and stability of high degree ordinary differential equations with operator coefficients
zbMATH Keywords: generalized Bezoutian
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1191
OpenAlex ID: W2019516387
DOI: 10.1006/JMAA.1995.1191
description: scientific article; zbMATH DE number 785133