Results 11 to 20 of about 231,156 (287)

Integral equation in the theory of optimal speed of linear systems with constraints

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2020
Boundary-value problems with phase constraints for linear ordinary differential equations are considered. The necessary and sufficient conditions for the existence of a solution to the boundary value problems of linear ordinary differential equations ...
S.А. Aisagaliev   +2 more
doaj   +1 more source

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

Constraining Gaussian Processes to Systems of Linear Ordinary Differential Equations

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   +3 more sources

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

Linearizability of Systems of Ordinary Differential Equations Obtained by Complex Symmetry Analysis [PDF]

open access: yes, 2011
Five equivalence classes had been found for systems of two second-order ordinary differential equations, transformable to linear equations (linearizable systems) by a change of variables.
Ali, Sajid   +2 more
core   +3 more sources

The remarkable effectiveness of time-dependent damping terms for second order evolution equations [PDF]

open access: yes, 2015
We consider a second order linear evolution equation with a dissipative term multiplied by a time-dependent coefficient. Our aim is to design the coefficient in such a way that all solutions decay in time as fast as possible.
Ghisi, Marina   +2 more
core   +4 more sources

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

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  

A Generalized Solution of an Initial Boundary Value Problem Arising in the Mechanics of Discrete-Continuous Systems

open access: yesМоделирование и анализ информационных систем, 2015
In this paper we define a generalized solution of an initial boundary value problem for a linear system of differential equations with one ordinary differential equation and two partial differential equations (a hybrid system of differential equations ...
E. P. Kubyshkin, O. A. Khrebtyugova
doaj   +3 more sources

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