On a class of solvable higher-order difference equations

Dynamics of a Class of Higher Order Difference Equations

Reduction of order, periodicity and boundedness in a class of nonlinear, higher order difference equations

On Some Solvable Difference Equations and Systems of Difference Equations

AND APPLIED ANALYSIS, Vol. 2012, No. Article ID 54176, pp. 1-11, Nov, 2012 References: Abstract: Here, we give explicit formulae for solutions of some systems of difference equations, which extend some very particular recent results in the literature and give natural explanations for them, which were omitted in the previous literature.

On a Higher-order System of Difference Equations

Here we study the following system of difference equations xn = f −1 ( cnf(xn−2k) an + bn ∏k i=1 g(yn−(2i−1))f(xn−2i) ) , yn = g −1 ( γng(yn−2k) αn + βn ∏k i=1 f(xn−(2i−1))g(yn−2i) ) , n ∈ N0, where f and g are increasing real functions such that f(0) = g(0) = 0, and coefficients an, bn, cn, αn, βn, γn, n ∈ N0, and initial values x−i, y−i, i ∈ {1, 2, . . . , 2k} are real numbers. We show that t...

On a class of third-order nonlinear difference equations

This paper studies the boundedness character of the positive solutions of the difference equation x(n+1) = A + x(n)^p/(x(n-1)^q*x(n-2)^r), no, where the parameters A, p, q and r are positive numbers.