# 2006 Publications

**Technical Report 2006-1 [ PDF File ]**

Recursive sequences of the form $y_n=a_{n}y_{n-1}+y_{n-2}$ with integer coefficients

Berenhaut, K. S., Saidak, F. and O’Keefe, A. B.

Accepted, Indian Journal of Mathematics. 2006.

**Technical Report 2006-2 [ PDF File ]**

A Coupled Map Lattice Model of Tree Migration

Miaohua Jiamg and Qiang Zhang

January 2006.

**Technical Report 2006-3 [ Request file ]**

A human proof for a generalization of Shalosh B. Ekhad’s 10^n Lattice Paths Theorem

G. Warrington, N. Loehr, and B. Sagan

To appear in Ars Combinatoria. 2006.

**Technical Report 2006-4 [ PDF File ]**

The global attractivity of the rational difference equation $y_{n}=\frac{y_{n-k}+y_{n-m}}{1+y_{n-k}y_{n-m}}$

Berenhaut, K. S., Foley, J. D. and Stevic, S.

To Appear:Applied Mathematics Letters. 2006.

**Technical Report 2006-5 [ PDF File ]**

Product Difference Equations Approximating Rational Equations

Berenhaut, K. S. and Foley, J. D.

To Appear: Proceedings of the Conference on Differential and Difference Equations and Applications, 2006.

**Technical Report 2006-6 [ PDF File ]**

The Global Attractivity of a Higher Order Rational Difference Equation

Berenhaut, K. S. and Stevic, S.

Accepted, Journal of Mathematical Analysis and Applications. 2006.

**Technical Report 2006-7 [ PDF File ]**

Inequalities for Coefficients of Reciprocals of Power Series

Berenhaut, K. S., Abernathy, Z. J., Fan, Ying Wai and Foley, J. D.

Accepted, Advances in Inequalities for Series (Edited by S.S. Dragomir & A. Sofo). 2005.

**Technical Report 2006-8 [ PDF File ]**

The Difference Equation $x_{n+1}=\a+\frac{x_{n-k}}{\sum_{i=0}^{k-1}c_ix_{n-i}}$ Has Solutions Converging to Zero

Berenhaut, K. S. and Stevic, S.

Accepted, Journal of Mathematical Analysis and Applications. 2006.

**Technical Report 2006-9 [ PDF File ]**

Multiple Positive Solutions for Elliptic Boundary Value Problems

Pavel Drabek and Stephen B. Robinson

Rocky Mountain Journal of Mathematics, Volume 36, Number 1, 2006

**Technical Report 2006-10 [ PDF File ]**

Algebraic dependency models of protein signal transduction networks from time-series data

Edward E. Allen, Jacquelyn S. Fetrow, Larry W. Daniel, Stan J. Thomas, David J. John

Journal of Theoretical Biology 238 (2006) 317�330

**Technical Report 2006-11 [ PDF File ]**

Reconstructing Networks using Cotemporal Functions

Edward E. Allen, Anthony Pecorella, Jacquelyn S. Fetrow, David J. John, and William Turkett

ACM SE’06 March 1012, 2006, Melbourne, Florida, USA

**Technical Report 2006-12 [ Request file ]**

A Forecast Combination Methodology for Demand Forecasting

J. Gaylord May & Joanne M. Sulek

Advances in Business and Management Forecasting, Volume 4, 277-287. Copyright 2006 by Elsevier Ltd.

**Technical Report 2006-13 [ PDF File ]**

The Behaviour of the Positive Solutions of the Difference Equation $x_n=A+\left(\frac{x_{n-2}}{x_{n-1}}\right)^p$

Berenhaut, K. S. and Stevic, S.

Accepted, Journal of Difference Equations and Applications.

**Technical Report 2006-14 [ PDF File ]**

Applications of recurrence bounds to networks and paths

Berenhaut, K. S. and Foley, J. D.

Accepted, International Journal of Applied Mathematics.

**Technical Report 2006-15 [ PDF File ]**

Algebraic Modeling of Bilogical Signaling Pathways

Anthony Pecorella

MA Thesis

**Technical Report 2006-16 [ PDF File ]**

Boundedness character of positive solutions of a max difference equation

Berenhaut, K. S., Foley, J. D. and Stevic, S.

Accepted, Journal of Difference Equations and Applications

**Technical Report 2006-17 [ PDF File ]**

The Global Attractivity of the Rational Difference Equation $y_n=A+\left(\frac{y_{n-k}}{y_{n-m}}\right)^p$

Berenhaut, K. S., Foley, J. D. and Stevic, S.

Accepted, Proceedings of the American Mathematical Society

**Technical Report 2006-18 [ PDF File ]**

The Periodic Character of the Rational Difference Equation $y_n = (y_{n-m}+y_{n-m-k})/y_{n-k}$

Berenhaut, K. S. and Foley, J. D.

Accepted, International Mathematical Forum

**Technical Report 2006-19 [ PDF File ]**

Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients

Berenhaut, K. S., Allen, E. E. and Fraser, S. J.

Accepted, Discrete Dynamics in Nature and Society

**Technical Report 2006-20 [ PDF File ]**

This paper has been updated and moved.

**Technical Report 2006-21 [ PDF File ]**

Inequalities for Inner Products under some Monotonicity Constraints

Berenhaut, K. S., Foley, J. D. and Bandyophadyay, D.

Journal of Inequalities in Pure and Applied Mathematics

**Technical Report 2006-22 [ PDF File ]**

Bounds for fourth order $(0,1)$ difference equations

Berenhaut, K. S., Gibson, B. G., Newman, J. H. and Anderson, J. F.

Accepted, Computers and Mathematics with Applications

**Technical Report 2006-23 [ PDF File ]**

Recursive sequences of the form $y_n=a_{n}y_{n-1}+y_{n-3}$ with integer coefficients

Berenhaut, K. S. and O’Keefe, A. B.

Accepted, Indian Journal of Mathematics

**Technical Report 2006-24 [ PDF File ]**

A note on the maximal coefficients of squares of Newman polynomials

Berenhaut, K. S. and Saidak, F.

Accepted, Journal of Number Theory

**Technical Report 2006-25 [ PDF File ]**

Multiplicity results for semipositone problems on balls

Robinson, Stephen B.; Rudd, Matthew

Dynam. Systems Appl. 15 (2006), no. 1, 133–146.

**Technical Report 2006-26 [ Request file ]**

Cauchy and Poisson Integrals of Ultradistributions in D'(*,Ls)

R. D. Carmichael, A. Kamiński and S. Pilipović

Integral Transforms and Special Functions 17(2006), 135-139.

**Technical Report 2006-27 [ Request file ]**

Microlocalization Within Some Classes of Fourier Hyperfunctions

R. D. Carmichalel, A. Eida and S. Pilipović

Operator Theory: Advances and Applications 172(2006), 329-343.