Results 11 to 20 of about 230,291 (288)
CANONICAL APPROXIMATIONS IN IMPULSE STABILIZATION FOR A SYSTEM WITH AFTEREFFECT
Ural 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
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IEEE 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
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Linearizability of Systems of Ordinary Differential Equations Obtained by Complex Symmetry Analysis [PDF]
, 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
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The remarkable effectiveness of time-dependent damping terms for second order evolution equations [PDF]
, 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
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Моделирование 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
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On a linear system of differential equations
Вестник 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
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Oscillation and asymptotic behavior of systems of ordinary linear differential equations [PDF]
Transactions of the American Mathematical Society, 1979 Conditions are established for oscillatory and asymptotic behavior for first-order matrix systems of ordinary differential equations, including Hamiltonian systems in the selfadjoint case. Asymptotic results of Hille, Shreve, and Hartman are generalized. Disconjugacy criteria of Ahlbrandt, Tomastik, and Reid are extended.
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On bounded solutions of differential systems
Вестник 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
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Hamiltonian and Variational Linear Distributed Systems [PDF]
, 2002 We use the formalism of bilinear- and quadratic differential forms in order to study Hamiltonian and variational linear distributed systems. It was shown in [1] that a system described by ordinary linear constant-coefficient differential equations is ...
Rapisarda, Paolo, Trentelman, Harry L.
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Calculation of special functions arising in the problem of diffraction by a dielectric ball
Discrete and Continuous Models and Applied Computational Science, 2021 To apply the incomplete Galerkin method to the problem of the scattering of electromagnetic waves by lenses, it is necessary to study the differential equations for the field amplitudes. These equations belong to the class of linear ordinary differential
Ksaverii Yu. Malyshev
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