AMS Sectional Meeting Full Program
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2000 Southeastern Section Meeting
Lafayette, LA, April 1416, 2000
Meeting #954
Associate secretaries:
John L Bryant, AMS
bryant@math.fsu.edu
Friday April 14, 2000

Friday April 14, 2000, 12:30 p.m.5:00 p.m.
Meeting Registration
Room 315, Griffin Hall

Friday April 14, 2000, 12:30 p.m.5:00 p.m.
Exhibit and Book Sale
Room 315, Griffin Hall

Friday April 14, 2000, 1:15 p.m.1:25 p.m.
Welcoming and Opening Remarks
Room 147, Griffin Hall

Friday April 14, 2000, 1:25 p.m.2:15 p.m.
Invited Address
Strings, duality, and geometry.
Room 147, Griffin Hall
Paul S. Aspinwall*, Duke University
(9545106)

Friday April 14, 2000, 2:30 p.m.6:20 p.m.
Special Session on Rings and Their Generalizations, I
Room 318, Griffin Hall
Organizers:
Gary F. Birkenmeier, University of Louisiana at Lafayette gfb1127@usl.edu
Henry E. Heatherly, University of Louisiana at Lafayette

2:30 p.m.
Generalized centers of nearrings.
Mark Farag*, University of Louisiana at Lafayette
(95416140)

3:00 p.m.
Left self distributively generated structural matrix rings.
John A Lewallen*, University of Louisiana at Lafayette
(95416151)

3:30 p.m.
Distributive Elements of Centralizer NearRings.
Andrew M Diener*, Texas A&M University
(95416125)

4:00 p.m.
Adjoint Clifford Rings.
Ralph P Tucci*, Loyola U. New Orleans
Henry Heatherly, University of Louisiana at Lafayette
(9541659)

4:30 p.m.
Minjective modules and prime Mideals.
John A. Beachy*, Northern Illinois University
(9541616)

5:00 p.m.
On annihilator ideals of a polynomial ring over a noncommutative ring.
Yasuyuki Hirano*, Okayama University
(9541685)

5:30 p.m.
Maximal and Minimal Right Ideals in the Nearring of Polynomials.
Alan Cannon, Southeastern Louisiana University
Lucyna Kabza*, Southeastern Louisiana University
(95416172)

6:00 p.m.
Group Homomorphism Generated Nearrings and Rings.
Gregory M Boudreaux*, University of Louisiana at Lafayette
(95416204)

Friday April 14, 2000, 2:30 p.m.5:50 p.m.
Special Session on Mathematical Models in the Biological and Physical Sciences, I
Room 401, Griffin Hall
Organizers:
Azmy S. Ackleh, University of Louisiana at Lafayette ackleh@usl.edu
Lan Ke, University of Louisiana at Lafayette ke@usl.edu
Robert D. Sidman, University of Louisiana at Lafayette rds7637@usl.edu

2:30 p.m.
Quantifying Uncertainty in Parameter Estimation Problems.
H. T. Banks*, North Carolina State University
(95449144)

3:00 p.m.
Global Dynamics of Some Matrix Models with Applications to Optimal Life Cycle Strategies.
Jim M Cushing*, University of Arizona
(95492139)

3:30 p.m.
Multiple Attractors and Resonance in Periodically Forced Population Models.
Shandelle M Henson*, College of William and Mary
(95492157)

4:00 p.m.
The Dynamics of Two Viral Infections Within a Single Host Population.
Linda J.S. Allen*, Texas Tech University
Michel Langlais, Universite Bordeaux II
(95434135)

4:30 p.m.
A Dynamical Systems Approach to Cardiac Arrhythmias. II.
Mitch Baker*, US Naval Academy
(9549267)

5:00 p.m.
ExistenceUniqueness and Long Time Behavior for a Class of Nonlocal Nonlinear Parabolic Evolution Equations.
Azmy S Ackleh, University of Louisiana at Lafayette
Lan Ke*, University of Louisiana at Lafayette
(95435186)

5:30 p.m.
Dynamics of AIDS Models with Differential Infectivity and Stage Progression.
Jia Li*, Department of Mathematical Sciences, University of Alabama in Huntsville
(9549256)

Friday April 14, 2000, 2:30 p.m.5:50 p.m.
Special Session on Nonlinear Differential Equations and Their Applications, I
Room 205, Griffin Hall
Organizers:
C. Y. Chan, University of Louisiana at Lafayette chan@usl.edu
Keng Deng, University of Louisiana at Lafayette kxd5858@usl.edu
A. S. Vatsala, University of Louisiana at Lafayette vatsala@usl.edu

2:30 p.m.
Nonlinear elliptic eigenvalue problems with discontinuities.
Shouchuan Hu*, Southwest Missouri State University
(95435201)

3:00 p.m.
Qualitative Behavior of Solutions of Chemotactic Diffusion Systems.
Xuefeng Wang*, Tulane University
(95435160)

3:30 p.m.
Recent progress on free boundary problems modeling cell growth.
Bei Hu*, University of Notre Dame
(9543599)

4:30 p.m.
An Efficient Meshless method for Nonlinear Diffusion Equations.
Michael A Golberg, Las Vegas, Nevada
C.S. Chen*, University of Nevada, Las Vegas
(9543574)

5:00 p.m.
Solving Multilayer Hydrodynamic Equations by Radial Basis Functions Method.
S.M. Wong*, Open University of Hong Kong
Y.C Hon, City University of Hong Kong
(95435152)

5:30 p.m.
Radial Basis Function Collocation: The Nonsymmetric Approach.
Gregory E Fasshauer*, Illinois Institute of Technology
(9546553)

Friday April 14, 2000, 2:30 p.m.4:20 p.m.
Special Session on Scientific Computing, I
Room 402, Griffin Hall
Organizers:
R. Baker Kearfott, University of Louisiana at Lafayette rbk@usl.edu
Qin Sheng, University of Louisiana at Lafayette sheng@usl.edu
Christo Christov, University of Louisiana at Lafayette christov@usl.edu

2:30 p.m.
Precise numerical solution of partial derivative problems.
Oliver Aberth*, Texas A & M University
(95435124)

3:00 p.m.
The Role of Operator Symbols in Classical Elliptic Wave Propagation.
Louis Fishman*, Naval Research Laboratory/University of New Orleans
(9543523)

3:30 p.m.
FourierGalerkin Method for Localized Solutions of Equations with Cubic Nonlinearity.
Marios Christou*, Department of Mathematics, University of Louisiana at Lafayette
Christo I Christov, Department of Mathematics, University of Louisiana at Lafayette
(9546538)

4:00 p.m.
Computational Aspect of Adaptive Signal Processing.
William W Edmonson*, University of Florida
Scott McCullough, University of Florida
Murali Rao, University of Florida
(95494165)

Friday April 14, 2000, 2:30 p.m.5:45 p.m.
Special Session on Quantum Topology, I
Room 321, Griffin Hall
Organizers:
Patrick M. Gilmer, Louisiana State University gilmer@marais.math.lsu.edu

2:30 p.m.
Quandle Homology Classes and Abstract Knot Diagrams.
J. Scott Carter*, University of South Alabama
Daniel Jelsovsky, University of South Florida
Seiichi Kamada, Osaka City University
Masahico Saito, University of South Florida
(95455122)

3:30 p.m.
ChernSimons Theory, Spin and Framed ThreeManifolds, and the Conjectures of Dijkgraaf and Witten.
Stephen F Sawin*, Fairfield University
(95481111)

4:30 p.m.
Are the ReshetikhinTuraevWitten invariants determining the holonomy map of a hyperbolic 3manifold?
Jozef H Przytycki*, George Washington University
(9545796)

5:00 p.m.
Quantum Link Invariants and Oriented Quantum Algebras.
Louis H Kauffman*, University Of Illinois at Chicago
(95457180)

Friday April 14, 2000, 2:30 p.m.5:50 p.m.
Special Session on Continuum Theory, I
Room 301, Griffin Hall
Organizers:
Thelma R. West, University of Louisiana at Lafayette trw7348@usl.edu

2:30 p.m.
Variation and uniqueness of outchannels.
John C Mayer*, University of Alabama at Birmingham
(95454159)

3:00 p.m.
Hyperspaces homeomorphic to cones.
Maria de Jesus Lopez*, Fac. de Ciencias, UNAM, Mexico
(95454175)

3:30 p.m.
The fixed point property for cones and product spaces.
Marcus M Marsh*, California State University, Sacramento
(95454131)

4:00 p.m.
Some problems on hyperspace determined continua.
Janusz J Charatonik*, IMATE, UNAM, Mexico
(9545491)

4:30 p.m.
Asymmetric span of continua.
Fernando MacíasRomero*, B. Universidad Autónoma de Puebla, México
(95454163)

5:00 p.m.
The Property $\mathrm{A\!\!V}$ on Dendroids.
Veronica Mart\'{\i}nezdelaVega*, Instituto de Matem\'aticas, UNAM. Mexico.
(9545492)

5:30 p.m.
On confluent maps of the plane.
Lex G Oversteegen*, UAB
(95454106)

Friday April 14, 2000, 2:30 p.m.5:20 p.m.
Special Session on Recent Advances in Statistics
Room 403, Griffin Hall
Organizers:
Calvin Berry, University of Louisiana at Lafayette cberry@usl.edu
Kalimuthu Krishnamoorthy, University of Louisiana at Lafayette kxk4695@usl.edu
Nabendu Pal, University of Louisiana at Lafayette nxp3695@usl.edu

2:30 p.m.
A fundamental difficulty in estimating the distributions of postmodelselection estimators.
Hannes Leeb, Department of Statistics, University of Vienna
Benedikt M Poetscher*, Department of Statistics, University of Vienna
(9546240)

3:00 p.m.
Performance of the Parametric Bootstrap Method in Small Sample Interval Estimates.
Kalimuthu Krishnamoorthy*, Univeristy of Louisiana at Lafayette
Denise F Benton, U of L at Lafayette
(95462197)

3:30 p.m.
VAR Measurement of the Risk in Stochastic Frontier Semiparametric Model.
Hengqing Tong*, Wuhan University of Technology
(9546231)

4:00 p.m.
Estimation of the smaller and larger of two exponential scale parameters.
Nabendu Pal*, University of Louisiana at Lafayette
Alvard Arazyan, University of Louisiana at Lafayette
(95462202)

4:30 p.m.
Application of VolterraWiener Functional Series with RandomPoint Basis Function to Nonlinear Stochastic Problems and Turbulence.
Christo I Christov*, Department of Mathematics, University of Louisiana at Lafayette
(9546047)

5:00 p.m.
On The Existence of a Modal Category.
J. Calvin Berry*, University of Louisiana at Lafayette, Lafayette, LA
(95462156)

Friday April 14, 2000, 2:30 p.m.4:50 p.m.
Special Session on Fluid Dynamics, I
Room 404, Griffin Hall
Organizers:
Michael Renardy, Virginia Polytechnic Institute \& State University renardym@calvin.math.vt.edu

2:30 p.m.
On the existence of finger solutions in HeleShaw Equation.
Jianzhong Su*, University of Texas at Arlington
(9543509)

3:00 p.m.
Reconstruction of the Velocity from the Vorticity.
Giles Auchmuty*, University of Houston
(9547611)

3:30 p.m.
Numerical simulations of twofluid flows of viscous immiscible liquids.
Yuriko Renardy*, Virginia Tech
Jie Li, Virginia Tech
(9547633)

4:00 p.m.
The Onset of Chaos in Vortex Sheet RollUp.
Robert Krasny*, University of Michigan
Monika Nitsche, University of New Mexico
(9547643)

4:30 p.m.
SolitaryWave Solutions of Systems of Equations.
Jerry L Bona*, University of Texas at Austin
Hongqiu Chen, City University of New York
(9547645)

Friday April 14, 2000, 2:30 p.m.5:20 p.m.
Special Session on Graph Theory, I
Room 215, Griffin Hall
Organizers:
Robin Thomas, Georgia Institute of Technology thomas@math.gatech.edu
Dhruv Mubayi, Georgia Institute of Technology mubayi@math.gatech.edu

2:30 p.m.
Some exact results and new asymptotics for hypergraph Turan numbers.
Dhruv Mubayi*, Georgia Tech
(9540595)

3:00 p.m.
Graphs with small Ramsey numbers.
Alexandr V Kostochka*, University of Illinois at UrbanaChampaign
Vojtech R\" odl, Emory University
(9540581)

3:30 p.m.
Equivalent Conditions of Regularity.
Yoshiharu Kohayakawa, University of Sao Paulo
Vojtech Rodl, Emory University
Jozef Skokan*, Emory University
(9540551)

4:00 p.m.
Two Extremal Problems for Set Systems.
Brendan T Nagle*, Georgia Institute of Technology
(95405190)

4:30 p.m.
Ramsey Numbers for Trees of Small Maximum Degree.
Penny E Haxell*, University of Waterloo
(95405183)

5:00 p.m.
Graphs without $C_6$.
Zoltan Furedi*, University of Illinois at UrbanaChampaign
(95405179)
Saturday April 15, 2000

Saturday April 15, 2000, 7:30 a.m.5:00 p.m.
Meeting Registration
Room 315, Griffin Hall

Saturday April 15, 2000, 7:30 a.m.5:00 p.m.
Exhibit and Book Sale
Room 315, Griffin Hall

Saturday April 15, 2000, 8:30 a.m.10:50 a.m.
Special Session on Rings and Their Generalizations, II
Room 318, Griffin Hall
Organizers:
Gary F. Birkenmeier, University of Louisiana at Lafayette gfb1127@usl.edu
Henry E. Heatherly, University of Louisiana at Lafayette

8:30 a.m.
Equations over modules.
John Dauns*, Tulane University
(9541668)

9:00 a.m.
Some results about projection idempotents in endomorphism nearrings.
Gary L Peterson*, James Madison University
(95416120)

9:30 a.m.
Generalized Triangular Matrix Rings and the Fully Invariant Extending Property.
Gary F Birkenmeier, Department of Mathematics, University of Louisiana at Lafayette
Jae Keol Park*, Department of Mathematics, Busan National University
S. Tariq Rizvi, Department of Mathematics, Ohio State University at Lima
(95416169)

10:00 a.m.
Forcing Linearity Number of a Module.
Carlton J Maxson*, Texas A&M University
(9541641)

10:30 a.m.
Rings, nearrings, and dynamical systems.
Gunter F Pilz*, Univ. of Linz, Austria
(9541675)

Saturday April 15, 2000, 8:30 a.m.10:50 a.m.
Special Session on Mathematical Models in the Biological and Physical Sciences, II
Room 401, Griffin Hall
Organizers:
Azmy S. Ackleh, University of Louisiana at Lafayette ackleh@usl.edu
Lan Ke, University of Louisiana at Lafayette ke@usl.edu
Robert D. Sidman, University of Louisiana at Lafayette rds7637@usl.edu

8:30 a.m.
Approximation Theory for Parameter Identification in Nonlinear Nonlocal Evolution Equations.
Azmy S Ackleh*, University of Louisiana at Lafayette
Sergiu Aizicovici, Ohio University
Simeon Reich, The TechnionIsrael Institute of Technology
(95465126)

9:00 a.m.
Spectral Collocation Approximations for Optimal Control Problems.
Fariba Fahroo*, Naval Postgraduate School
Isaac M Ross, Naval Postgraduate School
(95449127)

9:30 a.m.
Optimal Location of Sensors and Actuators for Control of Distributed Parameter Systems.
Michael A Demetriou*, Worcester Polytechnic Institute
(95449117)

10:00 a.m.
Set valued pseudomonotone operators and some applications.
Kenneth L Kuttler*, Brigham Young University
(9543558)

10:30 a.m.
A Regularized Long WaveKP Model.
Michael M Tom*, Louisiana State University
(95435105)

Saturday April 15, 2000, 8:30 a.m.10:50 a.m.
Special Session on Nonlinear Differential Equations and Their Applications, II
Room 205, Griffin Hall
Organizers:
C. Y. Chan, University of Louisiana at Lafayette chan@usl.edu
Keng Deng, University of Louisiana at Lafayette kxd5858@usl.edu
A. S. Vatsala, University of Louisiana at Lafayette vatsala@usl.edu

8:30 a.m.
A Singular Perturbation Problem of Carrier and Pearson.
Walter G Kelley*, University of Oklahoma
(9543408)

9:00 a.m.
Existence theory for a class of abstract nonlinear nonlocal integrodifferential equations in Banach spaces.
Mark A McKibben*, Goucher College
(9543407)

9:30 a.m.
Generalized Quasilinearization Applied to First Order Difference Equations.
Donna S Stutson*, Xavier University in Louisiana
(95434178)

10:00 a.m.
Stability analysis of nonlinear differential equations in abstract spaces under Markovian structural perturbations.
G. S. Ladde*, University of Texas at Arlington
(9543422)

10:30 a.m.
A Class of Singular Nonlinear Boundary Value Problems.
John V Baxley*, Wake Forest University
Kristina P Sorrells, Wake Forest University
(95434205)

Saturday April 15, 2000, 8:30 a.m.10:20 a.m.
Special Session on Scientific Computing, II
Room 402