## Department of Mathematics

## Faculty Research Presentations

**2010**

Real Zeros of Random Trigonometric Polynomials with Binomial Coefficients

**A. Brania** and **M. Sambandham**, Morehouse College

Invited Talk in Gulf Coast Conference on Probability and Statistics-GCCPS-2010, University of South Florida, Tampa, February 27, 2010

A Polynomials Bounded Integer Programming Algorithm

**Benedict Nmah**, Morehouse College, Atlanta, GA.

The Fourth International Conference On Neural, Parallel & Scientific Computations, Morehouse College, Atlanta, Georgia, August 11-14, 2010

Comparison Theorem for Hybrid Fractional Differential Equations

**A. Brania** and **M. Sambandham**, Morehouse College, GA, and N. G. Medhin, North Carolina State University, NC,

The Fourth International Conference On Neural, Parallel & Scientific Computations, Morehouse College, Atlanta, Georgia, August 11-14, 2010

A Program of Producing Pseudo-Anosov Maps Via Dehn Twists and Point-Push

**Chaohui Zhang**, Morehouse College, Atlanta, GA.

The Fourth International Conference On Neural, Parallel & Scientific Computations, Morehouse College, Atlanta, Georgia, August 11-14, 2010

On the Formation of Large Entropy Sets

**Steven Pederson**, Morehouse College, GA.

The Fourth International Conference On Neural, Parallel & Scientific Computations, Morehouse College, Atlanta, Georgia, August 11-14, 2010

Fuzzy Number System and Its Algebraic Properties

**Chuang Peng**, Morehouse College GA.

The Fourth International Conference On Neural, Parallel & Scientific Computations, Morehouse College, Atlanta, Georgia, August 11-14, 2010

On the Real Zeros of Random Pretrigonometric Polynomials

**Sajjad Abdullateef**, **R. E. Bozeman** and **M. Sambandham**, Morehouse College, Atlanta, GA.

The Fourth International Conference On Neural, Parallel & Scientific Computations, Morehouse College, Atlanta, Georgia, August 11-14, 2010

On The Control of Impulsive Hybrids Systems

**N. G. Medhin**, North Carolina State University, NC. and **M. Sambandham**, Morehouse College, Atlanta, GA.

The Fourth International Conference On Neural, Parallel & Scientific Computations, Morehouse College, Atlanta, Georgia, August 11-14, 2010

**2009**

Method of Vector Lyapunov Functions for Hybrid Fractional Differential Equation

**M. Sambandham**, Morehouse College

Plenary Lecture sessions of the International Conference on Mathematical and Computational Models (ICMCM, 2009), PSG College of Technology, Coimbatore, India, December 21-23, 2009.

Lyapunov Theory for Hybrid Impulsive Fractional Differential Equations

**M. Sambandham**, Morehouse College

Plenary Lecture sessions of the International Conference on Recent Advances in Mathematics Sciences and Applications, Institute of Advanced Studies, GVP College of Engineering, Visakhapatnam, India, December 19-21, 2009.

Comparison Theorem & Stability Properties Of Hybrid Fractional Differential Equation

**M. Sambandham**, Morehouse College

Invited Lecture, Seventh University of South Florida Interdisciplinary Workshop on Cancer and Hybrid Dynamic Systems, October 30, 2009.

Numerical Solution of Hybrid Fractional Differential Equations

**Steve Pederson** and **M. Sambandham**, Morehouse College

Colloquium Talk, PSG College of Technology, India, May 25, 2009.

On the Real Roots of Random Polynomials

**M. Sambandham**, Morehouse College

Colloquium Talk, Annamalai University, Annamalai Nagar, India, May 21, 2009.

Properties of Random Polynomials

**M. Sambandham**, Morehouse College

Invited Lecture, 6th University of South Florida (USF) Workshop on ”Stochastic Dynamic Systems and Applications”, Tampa, FL, April 10, 2009.

On the Holonomy of the Coulomb Connection over Manifolds with Boundary

**William E. Gryc**, Morehouse College

Special Session on Infinite Dimensional Analysis, Path Integrals and Related Fields, AMS National Meeting, Washington DC, January 6, 2009.

Numerical Solution of Hybrid Fractional Differential Equations

**S. Pederson** and **M. Sambandham**, Morehouse College

Invited Talk in AMS Special Session on Stochastic, Large-Scale, and Hybrid Systems with Applications, AMS National Meeting, Washington DC, January 5-8, 2009.

Complete listing from 2001 through 2009