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]

open access: goldJournal 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
doaj   +3 more sources

On A Matrix Hypergeometric Differential Equation

open access: yesمجلة 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
doaj   +3 more sources

On matrix fractional differential equations [PDF]

open access: yesAdvances 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
doaj   +2 more sources

Non-commutative NLS-type hierarchies: Dressing & solutions [PDF]

open access: yesNuclear 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
doaj   +4 more sources

Oscillation Criteria for Matrix Differential Equations [PDF]

open access: bronzeCanadian 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
openalex   +2 more sources

Maximum likelihood inference for multivariate delay differential equation models [PDF]

open access: yesScientific Reports
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
doaj   +2 more sources

Novel Bäcklund Transformations for Integrable Equations

open access: yesMathematics, 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
doaj   +1 more source

Optical solitary wave solutions in generalized determinant form for Kundu–Eckhaus equation

open access: yesResults 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
doaj   +1 more source

Sensitivity of the Solution to Nonsymmetric Differential Matrix Riccati Equation

open access: yesMathematics, 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
doaj   +1 more source

Best approximation of a nonlinear fractional Volterra integro-differential equation in matrix MB-space

open access: yesAdvances 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
doaj   +1 more source

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