Results 11 to 20 of about 20,481 (312)

Cauchy Problem for a Linear System of Ordinary Differential Equations of the Fractional Order [PDF]

open access: yesMathematics, 2020
We investigate the initial problem for a linear system of ordinary differential equations with constant coefficients and with the Dzhrbashyan–Nersesyan fractional differentiation operator.
Murat Mamchuev
doaj   +2 more sources

Constraining Gaussian Processes to Systems of Linear Ordinary Differential Equations [PDF]

open access: yesAdvances in Neural Information Processing Systems 35, 2022
Data in many applications follows systems of Ordinary Differential Equations (ODEs). This paper presents a novel algorithmic and symbolic construction for covariance functions of Gaussian Processes (GPs) with realizations strictly following a system of linear homogeneous ODEs with constant coefficients, which we call LODE-GPs.
Andreas Besginow, Markus Lange-Hegermann
openaire   +4 more sources

Lyapunov stability of systems of lineargeneralized ordinary differential equations [PDF]

open access: yesComputers & Mathematics with Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ashordia, Malkhaz
openaire   +4 more sources

CANONICAL APPROXIMATIONS IN IMPULSE STABILIZATION FOR A SYSTEM WITH AFTEREFFECT

open access: yesUral Mathematical Journal, 2023
For optimal stabilization of an autonomous linear system of differential equations with aftereffect and impulse controls, the formulation of the problem in the functional state space is used.
Yuri F. Dolgii
doaj   +1 more source

On Homogeneous Descriptor Systems and Homogeneity-Based Finite-Time Control of Linear Descriptor Systems

open access: yesIEEE Access, 2022
A new definition of homogeneity for descriptor systems is introduced. The homogeneity property can be verified algebraically, and, as for systems described by ordinary differential equations only, it implies scalability of solutions.
Dmitry E. Konovalov   +4 more
doaj   +1 more source

Application of Fractional Laplace Transform Method in Solving Linear Systems of Fractional Differential Equations [PDF]

open access: yes, 2022
: Based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, this paper provides several examples to illustrate how to use fractional Laplace transform to find the solution of linear system of fractional differential equations.
Chii-Huei Yu
core   +1 more source

On a linear system of differential equations

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2019
The linear systems of partial differential equations of the first order with the identical main parts is considered. Аpplying the well-known relation between a normal system of ordinary differential equations and a linear system of partial differential
T. М. Aldibekov, M. M. Aldazharova
doaj   +1 more source

On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]

open access: yes, 2011
Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Gordon Blower, Blower, Gordon
core   +1 more source

Systems of ordinary linear integrodifferential equations [PDF]

open access: yesApplications of Mathematics, 1959
Transient phenomena of linear physical systems (electrical, mechanical, acoustical circuits) furnish often systems of ordinary linear integro-differential equations which are not easy to solve. The existing techniques of solutions of such systems often refer to Laplace transforms.
openaire   +1 more source

On bounded solutions of differential systems

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2022
The question of the existence of bounded solutions on an infinite interval of a linear inhomogeneous system of ordinary differential equations in a finite-dimensional space is considered. The study of bounded solutions of systems of ordinary differential
T. M. Aldibekov
doaj  

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