Power bounded and exponentially bounded matrices

Jaromír J. Koliha; Ivan Straškraba

Displaying similar documents to “Power bounded and exponentially bounded matrices”

On the sensitivity of the matrix exponential problem

J. R. Roche (1981)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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A remark to the Floquet theorem for systems of linear differential equations

Jitka Laitochová (1991)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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On the stability of solutions of certain systems of differential equations with piecewise constant argument

Said R. Grace, Mustafa R. S. Kulenović, Hamdy El-Metwally (2002)

Czechoslovak Mathematical Journal

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We obtain some sufficient conditions for the existence of the solutions and the asymptotic behavior of both linear and nonlinear system of differential equations with continuous coefficients and piecewise constant argument.

Spectral analysis for differential operators with singularities.

Yurko, Vjacheslav Anatoljevich (2004)

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Substitution method for generalized linear differential equations

Dana Fraňková (1991)

Mathematica Bohemica

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The generalized linear differential equation $d x = d [a (t)] x + d f$ where $A, f \in B V_{n}^{l o c} (J)$ and the matrices $I - Δ^{-} A (t), I + Δ^{+} A (t)$ are regular, can be transformed $\frac{d y}{d s} = B (s) y + g (s)$ using the notion of a logarithimc prolongation along an increasing function. This method enables to derive various results about generalized LDE from the well-known properties of ordinary LDE. As an example, the variational stability of the generalized LDE is investigated.