Results 11 to 20 of about 103,833 (268)
On linear differential equations and systems with reflection [PDF]
Applied Mathematics and Computation, 2017 In this paper we develop a theory of linear differential systems analogous to the classical one for ODEs, including the obtaining of fundamental matrices, the development of a variation of parameters formula and the expression of the Green's functions.
Alberto Cabada, F. Adrián F. Tojo
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The Z5 transformation for solving quasi-linear partial differential equations
Partial Differential Equations in Applied Mathematics, 2023 The Z1-Z4 transformations proposed in our previous papers have acquired remarkable success in the field of linear partial differential equations, general solutions of a large number of typical equations were obtained for the first time, and exact ...
Hong Lai Zhu
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A Problem in Linear Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1959 In the Bulletin of the American Mathematical Society, March 1958, page 61, R. E. Bellman suggests the following for research. "Consider the second order linear differential equation (1) u" + (1 + Xg(x))u = O where X is a real constant and fo7 I g(x) I dx 0 for x _ 0, is the singularity nearest the origin on the negative axis?" We assume that g(x) is ...
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General Solution of Linear Fractional Neutral Differential Difference Equations
Discrete Dynamics in Nature and Society, 2013 This paper is concerned with the general solution of linear fractional neutral differential difference equations. The exponential estimates of the solution and the variation of constant formula for linear fractional neutral differential difference ...
Hai Zhang, Jinde Cao, Wei Jiang
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Linear differential equations for families of polynomials
Journal of Inequalities and Applications, 2016 In this paper, we present linear differential equations for the generating functions of the Poisson-Charlier, actuarial, and Meixner polynomials. Also, we give an application for each case.
Taekyun Kim +3 more
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The linear 2-refined neutrosophic differential equations
Neutrosophic Sets and SystemsIn this paper, we studied the linear 2-refined neutrosophic differential equations and defined the homogeneous and non-homogeneous 2-refined neutrosophic differential equations. Also to presenting 2-refined neutrosophic differential equation of Bernoulli,
Yaser Ahmad Alhasan +3 more
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Classical Theory of Linear Multistep Methods for Volterra Functional Differential Equations
Discrete Dynamics in Nature and Society, 2021 Based on the linear multistep methods for ordinary differential equations (ODEs) and the canonical interpolation theory that was presented by Shoufu Li who is exactly the second author of this paper, we propose the linear multistep methods for general ...
Yunfei Li, Shoufu Li
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Linear Differential Equations as a Data Structure [PDF]
Foundations of Computational Mathematics, 2019 A lot of information concerning solutions of linear differential equations can be computed directly from the equation. It is therefore natural to consider these equations as a data-structure, from which mathematical properties can be computed. A variety of algorithms has thus been designed in recent years that do not aim at "solving", but at computing ...
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Linear Multistep Methods for Impulsive Differential Equations
Discrete Dynamics in Nature and Society, 2012 This paper deals with the convergence and stability of linear multistep methods for impulsive differential equations. Numerical experiments demonstrate that both the mid-point rule and two-step BDF method are of order p=0 when applied to impulsive ...
X. Liu, M. H. Song, M. Z. Liu
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Ax–Schanuel for linear differential equations [PDF]
Archive for Mathematical Logic, 2017 24 pages. Minor changes in Sections 1-5.
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