Explicit bounds for third-order difference equations

ANZIAM J. 47 (2006), 359-366

Explicit bounds for third-order difference equations

Kenneth S. Berenhaut
Wake Forest University
Department of Mathematics
Winston-Salem, NC 27109
USA
berenhks@wfu.edu

Eva G. Goedhart
Wake Forest University
Department of Mathematics
Winston-Salem, NC 27109
USA

and

Stevo Stevic
Mathematical Institute of
Serbian Academy of Science
Knez Mihailova 35/I
11000 Beograd
Serbia
sstevic@ptt.yu
sstevo@matf.bg.ac.yu

Abstract

This paper gives explicit, applicable bounds for solutions of a wide class of third-order difference equations with nonconstant coefficients. The techniques used are readily adaptable for higher-order equations. The results extend recent work of the authors for second-order equations.

Download the article in PDF format (size 70 Kb)

Australian Mathematical Publishing Association Inc.