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28th Annual Southeastern-Atlantic Regional Conference on Differential Equations

Conference Talks

Plenary Talks

  • Jerry Bona (The University of Illinois at Chicago)
    Model Equations for Waves and some Applications to Problems in Geophysics
    DKSN 100 Friday October 10, 2008 - 2:00-2:50pm
  • Martin Bohner (Missouri University of Science and Technology)
    Logistic Dynamic Equations in Population Models
    DKSN 100 Saturday October 11, 8:30-9:20am
  • Om P. Agrawal (Southern Illinois University)
    Introduction to Fractional Calculus and a Finite Element Formulation for Fractional Variational Problem
    DKSN 100 Saturday October 11, 1:50-2:40pm


Contributed Talks

Friday October 10th


3:30-5:05pm               Contributed Session 1A, DKSN 20

3:30-3:50pm                Uniqueness Implies Existence and Uniqueness Conditions for a Class of (k+j)-Point Boundary Value Problems for nth Order Differential Equations, Paul Eloe, University of Dayton

3:55-4:15pm                Multiplicity of Positive Solutions for an Even-order Nonhomogeneous Boundary Value Problem, Britney Hopkins, Baylor University

4:20-4:40pm                Super Central Configurations, Zhifu Xie, Virginia State University

4:45-5:05pm                Almost Linear Volterra Equations, Muhammad Islam, University of Dayton



3:30-5:05pm               Contributed Session 1B, DKSN 201

3:30-3:50pm                Approximating Initial-Value Problems with Two-point Boundary-value Problems: BBM-equation, Hongqiu Chen, University of Memphis

3:55-4:15pm                Stability of Solitons for the KdV Equation in Hs, -3/4 < s < 0, Sarah Raynor, Wake Forest University

4:20-4:40pm                Bifurcations in Steady State Solution of Damped Forced KdV Equation, Muhammad Usman, University of Dayton

4:45-5:05pm                 A Uniformly Convergent Hybrid Finite Difference Scheme for Two-Parameter Singularly Perturbed Parabolic Problem, Vikas Gupta, Indian Institute of Technology Kanpur, India



3:30-5:05pm               Contributed Session 1C, DKSN 207

3:30-3:50pm                Positive Solutions for Elliptic Equations Involving Nonlinearities with Falling Zeroes, Eunkyoung Lee, Mississippi State University

3:55-4:15pm                First Order Compatibility of the Cubic Schrodinger Equation, Daniel J. Arrigo, University of Central Arkansas

4:20-4:40pm                 A Model for Submarine Avalanches Over Erodible Bed, Long Le, University of Central Arkansas

4:45-5:05pm                Infinite Semipositone Problems, Jinglong Ye, Mississippi State University



3:30-5:05pm               Contributed Session 1D, DKSN 210

3:30-3:50pm                A Numerical Solver for Burgers’ Equations in Two Dimensions, Ethan Alan Hereth, University of Central Arkansas

3:55-4:15pm                 A Field Theory Two-body Problem in Acoustics, Michael T. Heitzman, University of Missouri

4:20-4:40pm                 Non Conformal Perfect Fluid Plates in 5-Flat Form Using Similarity Transformations, Mukesh Kumar, Motilal Nehru National Institute of Technology Allanabad

4:45-5:05pm                Controlling the Motion of Charged Particles in a Vacuum Electromagnetic Field from Boundary, Luis Suazo, University of Central Arkansas



Saturday Morning October 11th


10:45am-12:20pm      Contributed Session 2A, DKSN 200

10:45-11:05am             On the Variational Characterization of Solutions to a Nonsmooth Cahn-Hilliard Equation, Stephen Robinson, Wake Forest University   

11:10-11:30am             Exponential Analysis of Solutions of Functional Differential Equations with Unbounded Terms, Youssef N. Raffoul, University of Dayton

11:35-11:55pm            Ornstein-Uhlenbeck Dynamic Equation and its Connection with the Vasicek Mean Reversion Model, Suman Sanyal, Clarkson University

12:00-12:20pm            Recessive Solutions of Nonoscillatory Halflinear Dynamic Equations, Elvan Akın-Bohner, Missouri University of Science and Technology



10:45am-12:20pm      Contributed Session 2B, DKSN 201

10:45-11:05am             Positive Solutions for Classes of n x n Nonlinear Elliptic Systems, Ratnasingham Shivaji, Mississippi State University

11:10-11:30am             Multiple Positive Solutions for a Class of p-q-Laplacian Systems with Multiple Parameters and Combined Nonlinear Effects, Jaffar Ali Shahul-Hameed, Florida Gulf Coast University

11:35-11:55pm            Elliptic Equations with Nonlinear Boundary Conditions, M. N. Nkashama, University of Alabama at Birmingham

12:00-12:20pm            Sensitivity Analysis for MinMax Parameter Choice for a Nonlinear Cable-Mass System, John Teye Brown, Louisiana Tech University



10:45am-12:20pm      Contributed Session 2C, DKSN 207

10:45-11:05am            Global Existence and Blow Up for Higher Order Boussinesq Systems, Dé Godefroy Akmel, Université d’Abidjan Cocody

11:10-11:30am             Practical Error Analysis of Numerical Solutions to the Huxley’s Equation, Champike Attanayake, Miami University

11:35-11:55pm            The Regularity Problem for the Lame System of Elastostatics on Curvilinear Polygons in Two Dimensions, Katharine Ott, University of Kentucky

12:00-12:20pm            Stabilization of Systems with Uncertain Parameters in a class of Structurally Stable Functions from Catastrophe Theory, Viktor Ten, Cornell University



10:45am-12:20pm      Contributed Session 2D, DKSN 210

10:45-11:05am            Two Level Finite Element Approximation of Navier-Stokes Equations with Nonlinear Subgridscale Artificial Viscosity, John P. Roop, North Carolina A & T State University

11:10-11:30am            Higher-Order Compact Volume Differencing Schemes for Inhomogeneous Helmholtz Equations with High Wave Numbers, Yaw Kyei, North Carolina A&T State University

11:35-11:55pm            Stability of the Diagonal Waves for Discretizations of the Advection Equation in Multidimensions, Adrian Sescu, University of Toledo

12:00-12:20pm            A Numerical Solution of the Generalized Burger’s-Huxley Equation Using Cubic B-Spline, Mahmood Lashani




10:45am-12:20pm      Contributed Session 2E, DKSN 100

10:45-11:05am             A Model for Transfer Phenomena in Structured Populations, Peter Hinow, Institute for Mathematics and its Applications

11:10-11:30am             Modeling Glucose Mobilization and Uptake at a Molecular Level, Weijiu Liu, University of Central Arkansas

11:35-11:55pm            Mathematical Modeling for The effects of HER2 Overexpression in Breast Cancer, Amina Eladdadi, Rensselaer Polytechnic Institute

12:00-12:20pm            Mathematical Modeling of Blood Flow in the Stenotic Tapered Artery Under the Action of Periodic Body Acceleration, Gaurav Varshney, Indian Institute of Technology Roorkee, India



Saturday Afternoon October 11th

3:10-5:10pm               Contributed Session 3A, DKSN 200

3:10-3:30pm                About One Feature of the Property of Linear Systems of Differential Equations with Non-negative Coefficients, Iskander Kapshayev, Institute of Mathematics (Almaty, Kazakhstan), Bowling Green State University (Ohio, USA)

3:35-3:55pm                Lyapunov’s Exponents of Linear Differential Equation of n-order as a Second Baire Class Functions of Continuous Parameter, Azhar Sultanbekova

4:00-4:20pm                Multi-point Boundary Value Problems of Fractional Order, John Allison, University of Arkansas at Little Rock

4:25-4:45pm                Mild Solutions of an Initial Value Problem of Fractional Order, Brian Leonard, University of Arkansas at Little Rock




3:10-5:10pm               Contributed Session 3B, DKSN 201

3:10-3:30pm                Global Dynamics of Diffusive Selkov Equations, Yuncheng You, University of South Florida

3:35-3:55pm                On the Almost Periodic Solutions of Differential Equations on Hilbert Spaces, Lan Nguyen, Western Kentucky University

4:00-4:20pm                The Behavior of a Population Under the Effects of the Propagation of a Disease with Fixed Infection Length, Elkhomeini Moulaye Ely, University of Hassan II Casablanca      

4:25-4:45pm                Divergence Free H(div) Finite Element Method for Incompressible Flow, Xiu Ye, University of Arkansas at Little Rock


3:10-5:10pm               Contributed Session 3C, DKSN 207

3:10-3:30pm                Control Parameter Determination for Low Order Controllers, Katie Evans, Louisiana Tech University

3:35-3:55pm                Application of Richardson Extrapolation to the Numerical Solution of Partial Differential Equations, Taylor Erwin, University of Central Arkansas

4:00-4:20pm                Completions of Implicitly Defined Linear Time Varying Vector Fields, Irfan Okay, Dalton State College

4:00-4:20pm                Application of a fractional Schrődinger equation to a hydrogen-like atom, S.I. Muslih, Department of Physics, Al-Azhar University, Gaza, Palestine



3:10-5:10pm               Contributed Session 3D, DKSN 210

3:10-3:30pm                A Population Model with Nonlinear Boundary Conditions and Constant Yield Harvesting, Jerome Goddard II, Mississippi State University

3:35-3:55pm                Traveling Waves and Their Stabilities for a Public Goods Games Model, Xiaojie Hou, University of North Carolina Wilmington

4:00-4:20pm                Bounded Solutions of Nonlinear Parabolic Systems with Nonlinear Boundary Conditions, Nsoki Mavinga, University of Rochester

4:25-4:45pm                Numerical Simulation of Population Distributions in Two Dimensions, W. D. Womack, University of Central Arkansas



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Updated 10.6.2008