Results 1 to 10 of about 1,429,804 (373)
On matrix fractional differential equations [PDF]
Advances in Mechanical Engineering, 2017 The aim of this article is to study the matrix fractional differential equations and to find the exact solution for system of matrix fractional differential equations in terms of Riemann–Liouville using Laplace transform method and convolution product to
Adem Kılıçman, Wasan Ajeel Ahmood
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On A Matrix Hypergeometric Differential Equation
مجلة العلوم البحتة والتطبيقية, 2021 In this paper we consider a matrix Hypergeometric differential equation, which are special matrix functions and solution of a specific second order linear differential equation.
Salah Hamd +2 more
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Journal of Inequalities and Applications, 2019 The Lyapunov matrix differential equation plays an important role in many scientific and engineering fields. In this paper, we first give a class relation between the eigenvalue of functional matrix derivative and the derivative of functional matrix ...
Jianzhou Liu, Juan Zhang, Hao Huang
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A Prüfer transformation for matrix differential equations [PDF]
Proceedings of the American Mathematical Society, 1957 Presented to the Society, December, 1955 under the title A necessary condition for nonoscillation of a system of second order differential equations, and August, 1956; received by the editors August 2, 1956. 1 These results were obtained while the author held a National Science Foundation grant, NSF-G1825 and was at Yale University.
John H. Barrett
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Perturbation analysis of a matrix differential equation ẋ = ABx [PDF]
Applied Mathematics and Nonlinear Sciences, 2018 Two complex matrix pairs (A, B) and (A′, B′) are contragrediently equivalent if there are nonsingular S and R such that (A′, B′) = (S−1AR, R−1BS). M.I. García-Planas and V.V.
M. Isabel García-Planas, T. Klymchuk
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Remarks on a Matrix Transformation for Linear Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1957 The remarks of this note are concerned with a result on transformations stated below as Theorem A, and are two-fold in nature: firstly, there are comments on the relation of this theorem to results of Perron [3] and Diliberto [1; 2], in the hope of correcting a misunderstanding that has arisen in this regard; secondly, there are remarks stressing two ...
William T. Reid
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Oscillation Criteria for Matrix Differential Equations [PDF]
Canadian Journal of Mathematics, 1967 We 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.
H. C. Howard
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$\Psi$-bounded solutions for a Lyapunov matrix differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2009 It is proved a necessary and sufficient condition for the existence of at least one $\Psi$-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation.
Aurel Diamandescu
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Non-commutative NLS-type hierarchies: Dressing & solutions [PDF]
Nuclear Physics B, 2019 We consider the generalized matrix non-linear Schrödinger (NLS) hierarchy. By employing the universal Darboux-dressing scheme we derive solutions for the hierarchy of integrable PDEs via solutions of the matrix Gelfand-Levitan-Marchenko equation, and we ...
Anastasia Doikou +2 more
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Maximum likelihood inference for multivariate delay differential equation models [PDF]
Scientific ReportsThe maximum likelihood inference framework for delay differential equation models in the multivariate settings is developed. The number of delay parameters is assumed to be one or more.
Ahmed Adly Mahmoud +6 more
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