Results 11 to 20 of about 231,156 (287)
Integral equation in the theory of optimal speed of linear systems with constraints
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
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CANONICAL APPROXIMATIONS IN IMPULSE STABILIZATION FOR A SYSTEM WITH AFTEREFFECT
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
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Constraining Gaussian Processes to Systems of Linear Ordinary Differential Equations
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
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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
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Linearizability of Systems of Ordinary Differential Equations Obtained by Complex Symmetry Analysis [PDF]
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
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The remarkable effectiveness of time-dependent damping terms for second order evolution equations [PDF]
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
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On a linear system of differential equations
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
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Systems of ordinary linear integrodifferential equations [PDF]
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.
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On bounded solutions of differential systems
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
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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
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