Titlebook: Matrix and Operator Equations and Applications; Mohammad Sal Moslehian Book 2023 The Editor(s) (if applicable) and The Author(s), under ex

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Stability and Controllability of Operator Differential Equationsdifferential equations affected by memory in Hilbert spaces. A general time optimal boundary controllability theorem for the operator differential equations is established. Applying this theorem, we obtain the exact boundary controllability for a class of viscoelastic wave and plate equations.

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On Semicircular Elements Induced by Connected Finite Graphslements will then act as Banach-space operators, realized on our free-probabilistic structures, in such a way that they deform the original free-distributional data. We characterize the deformations arising this way from individual graph-groupoid elements. Applications are given to deformed semicircular laws.

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2730-633X operator equations.Contains contributions by a number of sp.This book concerns matrix and operator equations that are widely applied in various disciplines of science to formulate challenging problems and solve them in a faithful way. The main aim of this contributed book is to study several import

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Existence and Representations of Solutions to Some Constrained Systems of Matrix Equationsve purely algebraic necessary and sufficient conditions for the solvability of some new systems of matrix equations and the general forms of their solutions. Particular cases of considered equations and systems of matrix equations with their solutions are investigated too.