# 2007 Publications

**Technical Report 2007-1 [ PDF File ]**

Non-variational problems with critical growth

M. Chhetri, P. Dr´abek, S. Raynor, S. Robinson

Nonlinear Analysis (2007)

**Technical Report 2007-2 [ PDF File ]**

Multiple Positive Solutions for Singular Boundary Value Problems

Maya Chhetri & Stephen Robinson

Communications on Applied Nonlinear Analysis, Volume 14(2007), Number 1, 15–30

**Technical Report 2007-3 [ PDF File ]**

Bounds for recurrences on ranked posets

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

Accepted, International Journal of Contemporary Mathematical Sciences

**Technical Report 2007-4 [ PDF File ]**

Infimum of the Metric Entropy of Hyperbolic Attractors With Respect to the SRB Measure

Huyi Hu, Miaohua Jiang, and Yunping Jiang

Accepted

**Technical Report 2007-5 [ Book ]**

Boundary Values and Convolution in Ultradistribution Spaces

Richard D. Carmichael, Andrzej Kamiński and Stevan Pilipović

World Scientific Publishing Co., Singapore, 2007. 225 pages.

**Technical Report 2007-6 [ Request file ]**

Notes on Degenerate Numbers

F. T. Howard and M. Cenkci

Discrete Mathematics, vol. 307, September 2007, 2359-2375

**Technical Report 2007-7 [ Request file ]**

Zhou’s Method for Constructing Identities

F. T. Howard and Filip Saidak

Accepted for publication.

**Technical Report 2007-8 [ Request file ]**

Iterative Methods for Finding a Trust-Region Step

Jennifer B. Erway, Philip E. Gill, and Joshua D. Griffin

Submitted

**Technical Report 2007-9 [ Request file ]**

On the rational recursive sequence $y_n=A+\frac{y_{n-1}}{y_{n-m}}$ for small $A$

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

In press, Applied Mathematics Letters

**Technical Report 2007-10 [ Request file ]**

Remarks on linear recurrences of the form $y_n=y_{n-1}+a_{n-1}y_{n-2}$

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

In Press, Proceedings of the Twelfth International Conference on Fibonacci Numbers

**Technical Report 2007-11 [ Request file ]**

The behavior of the positive solutions of the difference equation $x_n=\frac{f(x_{n-2})}{g(x_{n-1})}$

Berenhaut, K. S. and Stevic, S.

In press, Abstract and Applied Analysis

**Technical Report 2007-12 [ Request file ]**

On some systems of difference equations with periodic solutions

Berenhaut, K. S.

Accepted, Dynamics of Continuous, Discrete and Impulsive Systems

**Technical Report 2007-13 [ Request file ]**

The boundedness character of the difference equation $y_n=A+\frac{y_{n-k}}{y_{n-m}}$

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

Accepted, International Journal of Computer Mathematics

**Technical Report 2007-14 [ Request file ]**

Inequalities for functions with convex logarithmic derivative

Berenhaut, K. S. and Chen D.

Submitted.

**Technical Report 2007-15 [ Request file ]**

Moment generating functions, local approximations and one-step conditioning

Berenhaut, K. S. and Chen D.

Submitted.

**Technical Report 2007-16 [ ]**

This entry has been moved.

**Technical Report 2007-17 [ Request file ]**

On the Dyson condition for sums of independent random variables

Berenhaut, K. S., Chen D. and Tran, V.

Submitted.

**Technical Report 2007-18 [ Request file ]**

On a rational recursive sequence with parameter near the boundary

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

Accepted, International Journal of Difference Equations (2007).

**Technical Report 2007-19 [ Request file ]**

On some piecewise-linear difference equations with Mersenne-type periodic solutions

Berenhaut, K. S., Stancil, B. J. and Newman, J. H.

Submitted.