Singularity confinement for a class of m -th order difference equations of combinatorics

Singularity confinement for a class of m-th order difference equations of combinatorics.

In a recent publication, it was shown that a large class of integrals over the unitary group U(n) satisfy nonlinear, non-autonomous difference equations over n, involving a finite number of steps; special cases are generating functions appearing in questions of the longest increasing subsequences in random permutations and words. The main result of the paper states that these difference equatio...

Dynamics of a Class of Higher Order Difference Equations

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.

The variational iteration method for a class of tenth-order boundary value differential equations

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...