A functional-analytic method for the study of difference equations.
A necessary and sufficient condition for continuity of additive functions
A note on the periodicity of the Lyness max equation.
A short proof of the Cushing-Henson conjecture.
A trichotomy result for non-autonomous rational difference equations
We study non-autonomous rational difference equations. Under the assumption of a periodic non-autonomous parameter, we show that a well known trichotomy result in the autonomous case is preserved in a certain sense which is made precise in the body of the text. In addition we discuss some questions regarding whether periodicity preserves or destroys boundedness.
Asymptotic behavior of a competitive system of linear fractional difference equations.
Asymptotic behavior of a system of linear fractional difference equations.
Asymptotic behavior of discrete solutions to impulsive logistic equations.
Asymptotic expansions for higher-order scalar difference equations.
Asymptotic stability for a class of nonlinear difference equations.
Asymptotics of some convolutional recurrences.