18th Annual Southeastern-Atlantic Regional Conference on Differential Equations

October 16-17, 1998

Schedule of Contributed Talks

Section Ia
Chair: Uwe F. Mayer
Chemistry 121

3:40 John V. Matthews, III (North Carolina State University)
Solving a granular flow problem with a discontinuous Galerkin method
4:05 C. Maeve McCarthy (Murray State University)
A Rayleigh-Ritz method for the recovery of a density function in a two-dimensional inverse spectral problem
4:30 'Kale Oyedeji (Morehouse College)
Nonstandard, explicit discretizations of first-order ODE's
4:55 Tri Van (University of Florida)
An application of finite element methods to the singular Sturm-Liouville eigenvalue problem
5:20 J. M.-S. Lubuma (Vista University)
On the Fourier-boundary element method for elliptic problems with edge singularities
5:45 Abdelkader Laazizi (University Sidi Mohamed ben Abdellah)
Mixed methods for elliptic problem with rough coefficients
Section Ib
Chair: Rudi Weikard
Chemistry 134

3:40 John V. Baxley (Wake Forest University)
A class of singular nonlinear boundary value problems
4:05 Pedro M. Jordan (University of New Orleans)
Some mathematical implications for the static phi-four equation
4:30 Elena V. Rossi (Auburn University)
On solvability of an elliptic BVP at resonance at the Fucik eigenvalue
4:55 Xiangsheng Xu (Mississippi State University)
A local partial regularity theorem for weak solutions of degenerate elliptic PDEs and its application to the thermister problem
5:20 Maya Chhetri (Mississippi State University)
An existence result for a class of sublinear semipositone systems
5:45 Abderrahim El Attar (University Sidi Mohamed ben Abdellah)
On the first eigencurve for p-Laplacian with indefinite weight
Section Ic
Chair: Gordon Clark
Chemistry 156

3:40 Thomas C. Gard (The University of Georgia)
Recurrent and transient properties of stochastic population models
4:05 Mahmoud J. Anabtawi (Tennessee State University)
Convergence stability and analysis of large-scale parabolic systems under Markovian structural perturbations-I
4:30 Seth Armstrong (Arkansas State University)
A phase space approach to the numerical solution of a class of singular differential equations
4:55 Yongzhi Xu (University of Tennessee at Chattanooga)
A simple method for inverse scattering problem in an ocean
5:20 R. L. Herman (University of North Carolina at Wilmington)
Scattering of Rossby waves from piecewise-linear topographies using the transfer matrix method
5:45 Seth F. Oppenheimer (Mississippi State University)
A river water quality model for time varying BOD discharge concentration
Section Id
Chair: William Yin
Chemistry 151

4:05 P. W. Eloe (University of Dayton)
Comparison of Green's functions for a family of multipoint boundary value problems
4:30 Tammy Voepel (University of South Carolina Union)
Variable change for fourth order difference equations
4:55 M. N. Islam (University of Dayton)
Stability properties and integrability of the resolvent in linear Volterra integrodifferential equations
5:20 Bo Zhang (Fayetteville State University)
Asymptotic stability in linear Volterra equations
5:45 Bhagat Singh (University of Wisconsin-Manitowoc)
Asymptotic behavior of solutions of a class of higher order ordinary differential equations
Section IIa
Chair: Wenxian Shen
Chemistry 134

8:00 Philippe B. Laval (Kennesaw State University)
Noise removal from images based on mean curvature flow for nonparametric surfaces
8:25 Uwe F. Mayer (Vanderbilt University)
Classical solutions for diffusion-induced grain motion
8:50 Robert Stephen Cantrell (University of Miami)
On the effects of domain size on the persistence of populations in a diffusive food-chain model with DeAngelis-Beddington functional response
9:15 Chris Cosner (University of Miami)
Competitive reversals inside ecological reserves: the role of external habitat degradation
9:40 Masato Iida (Iwate University)
A reaction-diffusion system reduced to a Stefan-like free boundary problem
Section IIb
Chair: Paul Eloe
Chemistry 151

8:00 John R. Graef (Mississippi State University)
Periodic solutions of a forced delay differential equation
8:25 Bo Yang (Mississippi State University)
Necessary and sufficient conditions for the existence of a bounded nonoscillatory solution of a neutral delay differential equation
8:50 Youssef Raffoul (Tougaloo College)
Periodic solutions of a difference equation with finite delay
9:15 John M. Davis (Auburn University)
Existence of triple positive solutions for (k,n-k) right focal boundary value problems
9:40 Michael Y. Li (Mississippi State University)
Stability of periodic solutions in higher dimensions
Section IIc
Chair: Mary Ann Horn
Chemistry 121

8:00 M. E. Bradley (University of Louisville)
Bilinear optimal control of a Kirchhoff plate via velocity controller
8:25 C. A. McMillan (Virginia Tech.)
Exact controllablility of a cylinder
8:50 K. Renee Fister (Murray State University)
Cell-cycle-specific chemotherapy and optimal control
9:15 Hang Gao (Northeast Normal University)
Optimal control of growth rate for a class of population systems
9:40 Lester F. Caudill, Jr. (University of Richmond)
Stability and reconstruction for an inverse problem for the heat equation
Section IId
Chair: Rudolf Schmid
Chemistry 156

8:00 George A. Hagedorn (Virginia Tech.)
Semiclassical dynamics with exponentially small errors
8:25 Yu. Karpeshina (University of Alabama at Birmingham)
On the density of states for the Schrodinger operator with a periodic potential
8:50 Milena Stanislavova (University of Missouri-Columbia)
Invariant manifolds for nonlinear Schrodinger equation
9:15 Atanas Stefanov (University of Missouri-Columbia)
Strichartz estimates for the Schrodinger equation with radial data
9:40 Rudi Weikard (University of Alabama at Birmingham)
Algebro­geometric differential operators
Section IIIa
Chair: Lester Caudill
Chemistry 134

3:00 G. W. Clark (Virginia Commonwealth University)
Homogenization of a model for flow in a partially fissured medium
3:25 Stephen J. Watson (Louisiana State University)
On temporal asymptotics in one-dimensional nonlinear thermoviscoelasticity
3:50 James A. Reneke (Clemson University)
Communications modeled by a PDE on a discrete network
Section IIIb
Chair: Tom Gard
Chemistry 151

3:00 Liancheng Wang (Mississippi State University)
A criterion for stability of matrices
3:25 Mohsen Razzaghi (Mississippi State University)
A spectral method for the solution of nonlinear matrix equations
3:50 A. M. Blazhievskiy (Technological University of Podillia)
Fourier and Bessel equations in summation of functional series
Section IIIc
Chair: John R. Graef
Chemistry 121

3:00 Gaston M. N'guerekata (Morgan State University)
On almost automorphic solutions of some evolution equations
3:25 J. Matias Navarro S. (Ciudad Universitaria)
Bifurcations of simple umbilical points on surfaces immersed in R4
3:50 A. Raouf Chouikha (University of Paris-Nord)
About some monotonicity conditions for the period function
Section IIId
Chair: Seth F. Oppenheimer
Chemistry 156

3:00 G. Edgar Parker (James Madison University)
The algebraic structure of projectively polynomial functions
3:25 James Sochacki (James Madison University)
Newton's method revisited
3:50 Xianhua Huang (Concordia University)
A computer assisted approach to Hilbert's 16th problem



Last modified October 14, 1998.
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A. J. Meir ajm@math.auburn.edu