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Computational study of thin films made from the ferroelectric materials with Paul Painlevé approach and expansion and variational methods. [PDF]
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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.
Thang Nguyen, Z Gajić
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On the existence of solutions of the Riccati differential equation
Systems and Control Letters, 1987A characterization of finite escape times in the time-varying Riccati equations using its representation as the flow of a right invariant vector field on Lagrangian Grassmann manifold is obtained. The results also are applied to the indefinite and time-varying cases.
P E Crouch
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On the solution of a class of the reduced wave equation and the Riccati differential equation
Applied Mathematics and Computation, 2010The general solution of the linear differential equation \[ z''=\lambda_0 z \] is studied provided that the infinitely continuously differentiable function \(\lambda_0\) satisfies certain conditions. More precisely, let \(\lambda_1=\lambda_0^\prime\) and define iteratively \(\lambda_{2n-1}=\lambda_0\lambda_{2n-4}+\lambda_{2n-3}^\prime\) for \(n=2,3,4 ...
Adil Misir
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Solving Riccati Fuzzy Differential Equations
New Mathematics and Natural Computation, 2021In this paper, a method for solving Riccati fuzzy differential equations is studied in great detail. To obtain the solution of Riccati fuzzy differential equations (RFDEs), we study the fuzzy differential equations (FDEs) using the concept of generalized [Formula: see text]-differentiability.
F. Karimi +3 more
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On Riccati Matrix Differential Equations
Results in Mathematics, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Knobloch, H. W., Pohl, M.
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Matrix Riccati Differential Equations
Journal of the Society for Industrial and Applied Mathematics, 1965Chiellini [1] considered this system, and showed that knowledge of n solutions, not on the same (n 2) -flat, reduced the solution to quadratures (this generalizes (I)). In [2] it was shown that knowledge of k suitably independent solutions, 1 < k < n, reduces the solution to k quadratures and the solution of a matrix-vector linear homogeneous system of
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The Symplectic Semigroup and Riccati Differential Equations
Journal of Dynamical and Control Systems, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lawson, Jimmie, Lim, Yongdo
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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.
C. Kristopher Garrett, Ren-Cang Li
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Positivity Preserving Exponential Integrators for Differential Riccati Equations
Journal of Scientific Computing, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hao Chen 0015, Alfio Borzì
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