Results 11 to 20 of about 1,429,804 (373)
More on Asymptotic Approximation for Matrix Differential Equations
Journal of Mathematical Analysis and Applications, 1999 By means of WKB-methods, an asymptotic approximation is obtained for the solution of \(Y''=t^hA(t)Y\), where \(h\) is a real number, and \(A(t)\) a Hermitean \(n\times n\)-matrix for real \(t\), which is analytic and invertible on \((a,\infty]\). The eigenvalues \(\lambda_j\) of \(t^hA\) shall satisfy \(1+(\lambda_j')^2/(16\lambda_j^3)\neq 0\) on \((a,\
Uri Elias, Harry Gingold
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A Jacobi operational matrix for solving a fuzzy linear fractional differential equation [PDF]
, 2013 This paper reveals a computational method based using a tau method with Jacobi polynomials for the solution of fuzzy linear fractional differential equations of order ...
Ali Ahmadian +3 more
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Accessibility of the matrix Riccati differential equation [PDF]
PAMM, 2007 AbstractA known result on the classification of transitive Lie group actions on complex Grassmann manifolds is exploited to derive a necessary and sufficient accessibility criterion for the complex matrix differential Riccati equation. We treat both cases, the symmetric as well as the non‐symmetric Riccati equation.
Gunther Dirr, Uwe Helmke
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On matrix differential equations and abstract FG algorithm
Linear Algebra and its Applications, 2002 The purpose of this paper is to show that a whole class of matrix differential equations has a connection with the abstract FG algorithm. All equations from this class are built by means of various representations \(\rho\) of an arbitrary Lie algebra \({\mathfrak g}\) on \(\mathbb{K}^{n\times n}\) in the following way: \[ \dot L=\rho_N(L) \] where \(L ...
Maria Przybylska
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Novel Bäcklund Transformations for Integrable Equations
Mathematics, 2022 In this paper, we construct a new matrix partial differential equation having a structure and properties which mirror those of a matrix fourth Painlevé equation recently derived by the current authors.
Pilar Ruiz Gordoa, Andrew Pickering
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A computational solution for a Matrix Riccati differential equation
Numerische Mathematik, 1979 This paper is concerned with the solution of the finite time Riccati equation. The solution to the Riccati equation is given in terms of the partition of the transition matrix. Matrix differential equations for the partition of the transition matrix are derived and are solved using computational methods.
M. Razzaghi
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Optical solitary wave solutions in generalized determinant form for Kundu–Eckhaus equation
Results in Physics, 2023 The Kundu–Eckhaus (KE) equation describes the propagation of ultra-short femtosecond pulses in optical fibers. In this paper, on the basis of Hirota bilinear form of KE equation, a complex matrix is introduced into the differential relation satisfied by ...
Gui-Min Yue, Xiang-Hua Meng
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Fractional order operational matrix methods for fractional singular integro-differential equation
, 2016 Chandra Shekher Singh +3 more
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Sensitivity of the Solution to Nonsymmetric Differential Matrix Riccati Equation
Mathematics, 2021 Nonsymmetric differential matrix Riccati equations arise in many problems related to science and engineering. This work is focusing on the sensitivity of the solution to perturbations in the matrix coefficients and the initial condition.
Vera Angelova +2 more
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Advances in Difference Equations, 2021 In this article, we introduce a class of stochastic matrix control functions to stabilize a nonlinear fractional Volterra integro-differential equation with Ψ-Hilfer fractional derivative.
Reza Chaharpashlou, Reza Saadati
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