Boundedness character of a fourth-order system of difference equations

The boundedness character of two Stevic-type fourth-order difference equations

The boundedness character of positive solutions of two nonlinear fourth-order difference equations, which are particular cases of two large classes of difference equations by Stević, are studied in this paper.

Boundedness Character of a Symmetric System of Max-type Difference Equations

This paper is concerned with the boundedness of the following symmetric system of max-type difference equations 1 1 1 1 max{ , }, max{ , }, , p p n n n n q q n n y x 0 x c y c n x y + + − − = = N ∈ where , the parameters and the initial conditions { } 0 0 N N = ∪ , , (0, ) c p q ∈ ∞ 1 0 1 0 , , , x x y y − − are arbitrary positive real numbers.

On a Class of Fourth-order Nonlinear Difference Equations

We consider a class of fourth-order nonlinear difference equations. The classification of nonoscillatory solutions is given. Next, we divide the set of solutions of these equations into two types: F+and F−-solutions. Relations between these types of solutions and their nonoscillatory behavior are obtained. Necessary and sufficient conditions are obtained for the difference equation to admit the...

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

Solvability of Nonlinear Difference Equations of Fourth Order

In this article we show the existence of solutions to the nonlinear difference equation xn = xn−3xn−4 xn−1(an + bnxn−2xn−3xn−4) , n ∈ N0, where the sequences (an)n∈N0 and (bn)n∈N0 , and initial the values x−j , j = 1, 4, are real numbers. Also we find the set of initial values for which solutions are undefinable when an 6= 0 and bn 6= 0 for every n ∈ N0. When these two sequences are constant, w...