AbstractWe extend to operator polynomials some inertia theorems obtained recently for linear bounded operators in a Hilbert space. These theorems are applied 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
A Liapunov type stability theory for high order systems of differential equations is developed. This...
Abstract. Let P (z) be a polynomial of degree n with complex coecients and consider the n-th order l...
AbstractIf H is a Hermitian matrix and W = AH + HA∗ is positive definite, then A has as many eigenva...
AbstractWe extend to operator polynomials some inertia theorems obtained recently for linear bounded...
AbstractA generalized Bezout operator (Bezoutian) for a pair of operator polynomials is introduced a...
We study operator Lyapunov inequalities and equations for which the infinitesimal generator is not n...
AbstractThe main concern of this work is a description of inertia characteristics applicable to both...
It is shown that a certain Bezout operator provides a bijective correspondence between the solutions...
Abstract—We present a new criterion to determine the stability of polynomial with real coefficients....
AbstractWe study generalized Lyapunov equations and present generalizations of Lyapunov stability th...
Tyt. z nagł.References p. 287.Dostępny również w formie drukowanej.ABSTRACT: The paper considers thr...
In this article we introduce the concept of a completely bounded polynomial between operator spaces,...
AbstractGiven two polynomials with coefficients over K[k], the associated Bezout matrix B(k) with en...
In this chapter, we provide a short overview of the stability properties of polynomials and quasi-po...
Abstract. Recent development of the Hyers-Ulam-Rassias sta-bility is due to D. H. Hyers [10] and Th....
A Liapunov type stability theory for high order systems of differential equations is developed. This...
Abstract. Let P (z) be a polynomial of degree n with complex coecients and consider the n-th order l...
AbstractIf H is a Hermitian matrix and W = AH + HA∗ is positive definite, then A has as many eigenva...
AbstractWe extend to operator polynomials some inertia theorems obtained recently for linear bounded...
AbstractA generalized Bezout operator (Bezoutian) for a pair of operator polynomials is introduced a...
We study operator Lyapunov inequalities and equations for which the infinitesimal generator is not n...
AbstractThe main concern of this work is a description of inertia characteristics applicable to both...
It is shown that a certain Bezout operator provides a bijective correspondence between the solutions...
Abstract—We present a new criterion to determine the stability of polynomial with real coefficients....
AbstractWe study generalized Lyapunov equations and present generalizations of Lyapunov stability th...
Tyt. z nagł.References p. 287.Dostępny również w formie drukowanej.ABSTRACT: The paper considers thr...
In this article we introduce the concept of a completely bounded polynomial between operator spaces,...
AbstractGiven two polynomials with coefficients over K[k], the associated Bezout matrix B(k) with en...
In this chapter, we provide a short overview of the stability properties of polynomials and quasi-po...
Abstract. Recent development of the Hyers-Ulam-Rassias sta-bility is due to D. H. Hyers [10] and Th....
A Liapunov type stability theory for high order systems of differential equations is developed. This...
Abstract. Let P (z) be a polynomial of degree n with complex coecients and consider the n-th order l...
AbstractIf H is a Hermitian matrix and W = AH + HA∗ is positive definite, then A has as many eigenva...
DOI
Add to ORKG