Results 41 to 50 of about 1,038,136 (238)

Linear differential equations and Hurwitz series

, 2011
In this article, we study the set of all solutions of linear differential equations using Hurwitz series. We first obtain explicit recursive expressions for solutions of such equations and study the group of differential automorphisms of the set of all ...
Keigher, William F., Srinivasan, V. Ravi
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Linear Differential Operators for Polynomial Equations

Journal of Symbolic Computation, 2002
Let \(k_0\) be a number field and \(\overline{k_0}\) be its algebraic closure. Let \(P\in k_0(x)[y]\) be a squarefree polynomial in \(y\). The derivation \(\delta=\frac d{dx}\) extends uniquely to the algebraic closure \(\overline{k_0(x)}\) of \(k_0(x)\).
Olivier Cormier, Michael F. Singer, Barry M. Trager, Felix Ulmer   +3 more
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Stability Conditions for Linear Semi-Autonomous Delay Differential Equations

Mathematics, 2023
We present a new method for obtaining stability conditions for certain classes of delay differential equations. The method is based on the transition from an individual equation to a family of equations, and next the selection of a representative of this
Vera Malygina, Kirill Chudinov
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Six-vertex model and non-linear differential equations I. Spectral problem

, 2017
In this work we relate the spectral problem of the toroidal six-vertex model's transfer matrix with the theory of integrable non-linear differential equations.
Galleas, W.
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Differential constraints and exact solutions of nonlinear diffusion equations

, 2002
The differential constraints are applied to obtain explicit solutions of nonlinear diffusion equations. Certain linear determining equations with parameters are used to find such differential constraints. They generalize the determining equations used in
Andreev V K, Aristov S N, Clarkson P A, Dorodnitsyn V A, Galaktionov V A, Galaktionov V A, Galaktionov V A, Golubev V V, Goursat E, Igor V Verevkin, King J R, King J R, King J R, Levi D, Nariboli G A, Oleg V Kaptsov, Olver P, Olver P, Olver P J, Ovsiannikov L V, Pommaret J E, Pukhnachev V V, Schmidt A V, Schmidt A V, Whittaker E T   +24 more
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On a representation of linear differential equations

Mathematical and Computer Modelling, 2010
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Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics

MATEC Web of Conferences, 2018
This paper presents a nonlinear differential equations system piecewise continuous approximation. The piecewise continuous approximation improves piecewise linear approximation through reducing the errors at the boundaries of different linear ...
Leibov Roman
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Unique solvability
 of second order functional differential equations with non-local
 boundary conditions

Electronic Journal of Qualitative Theory of Differential Equations, 2012
Some general conditions sufficient for unique solvability of the
 boundary-value problem for a system of linear functional
 differential equations of the second order are established.
Natalia Dilna
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On the finite dual of a cocommutative Hopf algebroid. Application to linear differential matrix equations and Picard-Vessiot theory [PDF]

, 2021
Laiachi El Kaoutit, José Gómez-Torrecillas   +1 more
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Generalized singular exponents linear system of differential equations

Вестник КазНУ. Серия математика, механика, информатика, 2017
Consider a finite-dimensional linear homogeneous system of differential equations with continuous bounded coefficients in an infinite interval in critical cases of singular exponents.
A. E. Mirzakulova, M. M. Aldazharova, Zh. T. Moldabek, T. M. Aldibekov   +3 more
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