Results 1 to 10 of about 1,450,703 (382)
The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time-varying nonlinear system [PDF]
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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On A Matrix Hypergeometric Differential Equation
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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On matrix fractional differential equations [PDF]
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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Non-commutative NLS-type hierarchies: Dressing & solutions [PDF]
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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Oscillation Criteria for Matrix Differential Equations [PDF]
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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Maximum likelihood inference for multivariate delay differential equation models [PDF]
The 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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Novel Bäcklund Transformations for Integrable Equations
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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Optical solitary wave solutions in generalized determinant form for Kundu–Eckhaus equation
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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Sensitivity of the Solution to Nonsymmetric Differential Matrix Riccati Equation
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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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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