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In recent years, many authors investigated the systems of stochastic difference equations with discrete time or the systems of numerical solution for stochastic difference equations with continue time...
A higher order difference equation may be generally defined in an arbitrary nonempty set S as: fn(xn, xn−1, . . . , xn−k) = gn(xn, xn−1, . . . , xn−k)where fn, gn: Sk+1→ S are...
We introduce the cluster algebraic formulation of the integrable difference equations, the discrete Lotka-Volterra equation and the discrete Li-ouville equation, from the view point of the general T-s...
A higher order difference equation may be generally defined in an arbitrary nonempty set S as: fn(xn, xn−1, . . . , xn−k) = gn(xn, xn−1, . . . , xn−k)where fn, gn: Sk+1→ S are...
Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are ...
We follow a polynomial approach to analyse strong stability of linear difference equations with rationally independent delays. Upon application of the Hermite stability criterion on the discrete-time ...
We consider a rational system of first order difference equations in the plane with four parameters such that all fractions have a common denominator. We study, for the different values of the paramet...
Given a sequence (Mn,Qn)n≥1 of i.i.d. random variables with generic copy (M,Q)such that M is a regular d × d matrix and Q takes values in Rd, we consider the random difference equation (RDE) Rn = MnRn...
Relation between two properties of linear difference equations with infinite delay is inves- tigated: (i) exponential stability, (ii) ℓp-input ℓq-state stability (sometimes is called Perr...
We develop a Galois theory for systems of linear difference equations with periodic parameters, for which we also introduce linear difference algebraic groups.We then apply this to constructively test...
Let C be an algebraically closed field and X a projective curve over C. Consider an ordinary linear differential equation, or a linear differ-ence equation, with coefficients in the field of rational ...
In this paper we consider the partial difference equation with continuous variables, Some sufficient conditions for all solutions of this equation to be oscillatory are obtained.
In this paper, by using the critical point theory, some sufficient conditions for the existence and multiplicity of periodic and subharmonic solutions to a class of second order functional differenc...

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