Wyniki wyszukiwania

1

Continuity of the Drazin inverse II

100%

Koliha J., Rakočević V.

Studia Mathematica

|

1998

|

tom 131

|

nr 2

167-177

EN

We study the continuity of the generalized Drazin inverse for elements of Banach algebras and bounded linear operators on Banach spaces. This work extends the results obtained by the second author on the conventional Drazin inverse.

2

Differentiability of the g-Drazin inverse

100%

Koliha J., Rakočević V.

Studia Mathematica

|

2005

|

tom 168

|

nr 3

193-201

EN

If A(z) is a function of a real or complex variable with values in the space B(X) of all bounded linear operators on a Banach space X with each A(z)g-Drazin invertible, we study conditions under which the g-Drazin inverse $A^{𝖣}(z)$ is differentiable. From our results we recover a theorem due to Campbell on the differentiability of the Drazin inverse of a matrix-valued function and a result on differentiation of the Moore-Penrose inverse in Hilbert spaces.

3

Stabilization of solutions to a differential-delay equation in a Banach space

100%

Koliha J., Straškraba I.

Annales Polonici Mathematici

|

1996-1997

|

tom 65

|

nr 3

271-281

EN

A parameter dependent nonlinear differential-delay equation in a Banach space is investigated. It is shown that if at the critical value of the parameter the problem satisfies a condition of linearized stability then the problem exhibits a stability which is uniform with respect to the whole range of the parameter values. The general theorem is applied to a diffusion system with applications in biology.

Ograniczanie wyników

2 Studia Mathematica

1 Annales Polonici Mathematici

3 Koliha J.

2 Rakočević V.

1 Straškraba I.

1 2005

1 1998

1 1997

Continuity of the Drazin inverse II

Differentiability of the g-Drazin inverse

Stabilization of solutions to a differential-delay equation in a Banach space