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TY - JOUR TI - On The Solutions Of Quasi – Lyapunov Operator Equations PY - %2022/%11/%18 Y2 - %2025/%12/%19 JF - Al-Mansour Journal JA - مجلة المنصور VL - 21 IS - 1 LA - en KW - Lyapunov equations KW - Sylvester equation KW - Linear operator equations KW - Sylvester – Rosenblum Theorem. UR - https://journal.muc.edu.iq/journal/article/view/201 SP - 1-3 AB - In this paper, some theorems are modified to ensure the existence and uniqueness of the solution for the Quasi –Lyapunov operator equation.Also, the range of the Quasi – Lyapunov equation is studied. As well as, the nature of the solution for the Quasi –Lyapunov operator equation is studied for special types of operators. ER -