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Oscillation Criteria for Matrix Differential Equations
Canadian Journal of Mathematics, 1967We shall be concerned at first with some properties of the solutions of the matrix differential equation1.1whereis an n × n symmetric matrix whose elements are continuous real-valued functions for 0 < x < ∞, and Y(x) = (yij(x)), Y″(x) = (y″ ij(x)) are n × n matrices.
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GIP integrators for Matrix Riccati Differential Equations
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kristopher Garrett, C., Li, Ren-Cang
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Solving the Matrix Differential Riccati Equation: A Lyapunov Equation Approach
IEEE Transactions on Automatic Control, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen, Thang, Gajic, Zoran
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A Converse Problem in Matrix Differential Equations
Canadian Mathematical Bulletin, 1973Suppose X and F are nxn matrix solutions of the n X n matrix differential equation(1)such that(2)where J is some interval.
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On the Lyapunov matrix differential equation
IEEE Transactions on Automatic Control, 1986A lower bound for the determinant of the solution to the Lyapunov matrix differential equation is derived. It is shown that this bound is obtained as a solution to a simple scalar differential equation. In the limiting case where the solution to the Lyapunov differential equation becomes stationary, the result reduces to one of the existing bounds for ...
Mori, Takehiro +2 more
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Matrix two-sided linear differential equations
Mathematical Notes, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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