Results 21 to 30 of about 2,236,935 (277)
Quantization scheme for modular q-difference equations [PDF]
, 2004 Modular pairs of some second order q-difference equations are considered. These equations may be interpreted as a quantum mechanics of a sort of hyperelliptic pendulum.
Sergeev, S.
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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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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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Calculation of master integrals by difference equations [PDF]
, 2001 In this paper we describe a new method of calculation of master integrals based on the solution of systems of difference equations in one variable. An explicit example is given, and the generalization to arbitrary diagrams is described.
Laporta, S.
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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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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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Approximative solutions of difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2014 Asymptotic properties of solutions of difference equations of the form $$ \Delta^m x_n=a_nf(n,x_{\sigma(n)})+b_n $$ are studied. Using the iterated remainder operator and fixed point theorems we obtain sufficient conditions under which for any solution
Janusz Migda
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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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Invariant manifolds for analytic difference equations
, 2012 We use a modification of the parameterization method to study invariant manifolds for difference equations. We establish existence, regularity, smooth dependence on parameters and study several singular limits, even if the difference equations do not ...
de la Llave, Rafael, Lomeli, Hector E.
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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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