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SOLUTION OF OPERATOR EQUATIONS
Author(s) -
Emad Abass Kuffi,
Zainab Fahd Mehuws
Publication year - 2007
Publication title -
journal of al-nahrain university-science
Language(s) - English
Resource type - Journals
eISSN - 2519-0881
pISSN - 1814-5922
DOI - 10.22401/jnus.10.2.25
Subject(s) - operator (biology) , mathematics , uniqueness , semi elliptic operator , finite rank operator , lyapunov function , compact operator , mathematical analysis , range (aeronautics) , computer science , banach space , physics , nonlinear system , differential operator , chemistry , biochemistry , repressor , transcription factor , gene , materials science , quantum mechanics , composite material , extension (predicate logic) , programming language
In this paper, we study and discuss the existence and uniqueness of the solution of the discrete – time Sylvester and Lyapunov operator equations, and more general continuous –time Lyapunov operator equations. Also, we study the nature of the solution for these operator equation for special types of operators, as well as the study of the range A,B, A,and tA are introduced. Where,

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