Results 21 to 30 of about 2,259,648 (327)
Transformations of Difference Equations II
Advances in Difference Equations, 2010 This is an extension of the work done by Currie and Love (2010) where we studied the effect of applying two Crum-type transformations to a weighted second-order difference equation with non-eigenparameter-dependent boundary conditions at the end points.
Currie Sonja, Love AnneD
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Galois theory of fuchsian q-difference equations [PDF]
, 2002 We propose an analytical approach to the Galois theory of singular regular linear q-difference systems. We use Tannaka duality along with Birkhoff's classification scheme with the connection matrix to define and describe their Galois groups.
Sauloy, Jacques
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Axioms, 2021 This article is to investigate the existence of entire solutions of several quadratic trinomial difference equations f(z+c)2+2αf(z)f(z+c)+f(z)2=eg(z), and the partial differential difference equations f(z+c)2+2αf(z+c)∂f(z)∂z1+∂f(z)∂z12=eg(z),f(z+c)2+2αf ...
Hong Li, Hongyan Xu
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Reflectionless Potentials for Difference Schr\"odinger Equations [PDF]
, 2015 As a part of the program `discrete quantum mechanics,' we present general reflectionless potentials for difference Schr\"odinger equations with pure imaginary shifts. By combining contiguous integer wave number reflectionless potentials, we construct the
Odake, Satoru, Sasaki, Ryu
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Differential Galois Theory of Linear Difference Equations [PDF]
, 2008 We present a Galois theory of difference equations designed to measure the differential dependencies among solutions of linear difference equations.
Hardouin, Charlotte, Singer, Michael F.
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Fractional Order Difference Equations
International Journal of Differential Equations, 2012 A difference equation is a relation between the differences of a function at one or more general values of the independent variable. These equations usually describe the evolution of certain phenomena over the course of time. The present paper deals with
J. Jagan Mohan, G. V. S. R. Deekshitulu
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A survey of Hirota's difference equations
, 1997 A review of selected topics in Hirota's bilinear difference equation (HBDE) is given. This famous 3-dimensional difference equation is known to provide a canonical integrable discretization for most important types of soliton equations.
A. Bobenko +43 more
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Transformations of Difference Equations I
Advances in Difference Equations, 2010 We consider a general weighted second-order difference equation. Two transformations are studied which transform the given equation into another weighted second order difference equation of the same type, these are based on the Crum transformation.
Currie Sonja, Love AnneD
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Lie symmetries of multidimensional difference equations
, 2001 A method is presented for calculating the Lie point symmetries of a scalar difference equation on a two-dimensional lattice. The symmetry transformations act on the equations and on the lattice.
Levi, Decio +2 more
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Qualitative approximation of solutions to difference equations [PDF]
, 2015 We present a new approach to the theory of asymptotic properties of solutions of difference equations. Usually, two sequences $x,y$ are called asymptotically equivalent if the sequence $x-y$ is convergent to zero i.e., $x-y\in c_0$, where $c_0$ denotes ...
Migda, Janusz
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