Proceedings of Nonlinear Differential Equations, a conference celebrating the sixtieth birthday of Alan C. Lazer

Foreword

The Conference featured 4 principal speakers, 4 special sessions, and a number of contributed talks. The principal speakers were Professors Paul Rabinowitz, Klaus Schmitt, Joe McKenna and Chris Cosner. The special sessions and their organizers were as follows: Dynamical Systems (Huseyin Kocak and Ken Palmer), Critical Point Theory (Daniela Lupo), Population Dynamics (Hal Smith) and Nonlinear Boundary Value Problems (Alfonso Castro and Ratsingham Shivaji).

We especially thank Alfonso Castro for serving as co-organizer of the Conference and for making the Electronic Journal of Differential Equations available to us as an outlet for this referred Conference Proceedings. We thank Jean Mawhin for serving ever so urbanely as the master of ceremonies at the banquet. Finally, we gratefully acknowledge the financial support of the Department of Mathematics of the University of Miami, the College of Arts and Sciences of the University of Miami, and the National Science Foundation through grant INT-9805564 without which the conference could not have been held.

Following is a list of the Conference Participants with affiliations and title of talk when applicable. In the following, (P) denotes a principal lecture, (S) denotes a special session presentation and (C) denotes a contributed talk.

Conference Participants
• Walter Allegretto, University of Alberta, Principal eigenvalues and Sturm comparison via Picone's identity (S)
• Eric J. Avila, Universidad Autonoma de Yucatan
• Peter Bates, Brigham Young University, Multi-peaked solutions to the Cahn-Hilliard equation (S)
• Flaviano Battelli, University of Ancona, Italy, On the existence of singular ground states for the scalar curvature equation (S)
• Robert Berry, University of Houston
• Juan Campos, University of Granada, Spain
• Stephen Cantrell, University of Miami
• Alfonso Castro, University of North Texas, Critical point theory and the number of solutions to a nonlinear Dirichlet problem (S)
• Chen Chang, University of Texas at San Antonio A potential condition for doubly periodic solutions of 4-th order semilinear P.D.E. (C)
• Maya Chhetri, Mississippi State University, An existence result for a class of superlinear p-Laplacian semipositone systems (C)
• Yung S. Choi, University of Connecticut, Positive solutions to aniostropic quasilinear elliptic problems (C)
• Brian Coomes, University of Miami
  
• Chris Cosner, University of Miami, Contributions of A.C. Lazer to mathematical population dynamics (P)
• Jorge Cossio, University of Texas at San Antonio, Sign-changing solutions for asymptotically linear Dirichlet problems (S)
• David G. Costa, University of Nevada - Las Vegas, On the sign of the mountain-pass solution (S)
• Daniel Daners, Brigham Young University, Perturbation of weighted periodic-parabolic eigenvalue problems (C)
• Yihong Du, University of New England, Australia, Blow-up solutions for a class of elliptic and parabolic equations (C)
• Le Dung, Georgia Institute of Technology, Coexistence with chemotaxis (C)
• Argemiro Echeverri, Universidad Nacional, Colombia
• Sean F. Ellermeyer, Kennesaw State University, Competition in a chemostat with time varying nutrient input (C)
• Marcel Finan, University of Texas at San Antonio, Existence of many sign-changing nonradial solutions to a superlinear Dirichlet problem on annular domains (C)
• Herb Freedman, University of Alberta, Competition models of cancer treatment (S)
• Thomas Gard, University of Georgia, Transient dynamics in stochastic population models: Multiple Liapunov functions and first exit tendencies (S)
• Jose Valdo Goncalves, Universidade de Brasilia, Discontinuous semilinear elliptic problems (C)
• Jack Hale, Georgia Institute of Technology
• Mehran Hassanpour, South Texas Community College
• Stuart Hastings, University of Pittsburgh, On the global bifurcation diagram of the one-dimensional Ginzburg-Landau model of superconductivity (S)
• Jon Jacobsen, University of Utah, Bifurcations problems associated with Monge-Ampere operators (C)
• Robert Kelley, University of Miami
• Peter Kloeden, Johann Wolfgang Goethe Universitat, Germany, Lyapunov functions for pullback attractors in nonautonomous dynamical systems (S)
• Huseyin Kocak, University of Miami, Phaser.java: A universal simulator for dynamical systems (S)
• Philip Korman, University of Cincinnati, Curves of sign-changing solutions for semilinear problems (S)
• Hugo Leiva, Universidad De Los Andes, Venezuela, Existence of bounded solutions of a second order abstract differential equations (C)
• Anthony W. Leung, University of Cincinnati, Bifurcation of reaction-diffusion systems related to epidemics (S)
• Xiao-Biao Lin, North Carolina State University, Rankine-Hugoniot condition and shock solutions for quasilinear hyperbolic systems (S)
• David Loper, Florida State University, A simple solution to a difficult free-boundary problem (C)
• Julian Lopez-Gomez, Universidad Complutense de Madrid, The existence of metasolutions for a class of semilinear elliptic boundary value problems (S)
• Guozhen Lu, Wright State University
• Daniela Lupo, Politecnico di Milano, A dual variational approach to a class of nonlocal semilinear Tricomi problems (S)
• Jean Mawhin, Universite Catholique de Louvain, Belgium, Recent developments in Landesman-Lazer conditions for nonlinear boundary value problems (S)
• Joseph McKenna, University of Connecticut, From semilinear elliptic to Tacoma: A bridge to the new milennium (P)
• Anna Maria Micheletti, Universita di Pisa, Italy
  On the number of solutions for a class of fourth order elliptic problems (S)
• P.S. Milojevic, New Jersey Institute of Technology, Existence and the number of solutions of nonresonant semilinear equations and applications to BVP's (C)
• Konstantin Mischaikow, Georgia Institute of Technology, Construction of symbolic dynamics from experimental time series (S)
• Victor H. Moll, Tulane University, McKean's caricature in two space dimensions (C)
• Francisco Montes de Oca, University of North Texas, Existence and stability of periodic solutions in a Riccati equation (C)
• Kristen Moore, University of Connecticut, Large amplitude torsional oscillations in the Tacoma Narrows Bridge (C)
• Jaime Navarro, Universidad del Valle de Mexico
• Donald B. Olson, University of Miami, The effects of structure on population dynamics: time-dependent coefficients and stage induced initial conditions (C)
• Rafael Ortega, Universidad Nacional, Spain, Twist dynamics in a piecewise linear oscillator (S)
• Tiancheng Ouyang, Brigham Young University
• Kenneth Palmer, University of Miami
• Kevin Payne, Politecnico di Milano
• Sergei S. Pilyugin, Georgia Institute of Technology
• Sergei Y. Pilyugin, St. Petersburg State University, Attractors of parabolic PDEs and of their discretizations (S)
• Jose R. Quintero, University of Maryland, Two-dimensional solitary waves for a Benney-Luke equation (C)
• Paul Rabinowitz, University of Wisconsin, Connecting orbits for a class of Lagrangian systems (P)
• James H. Roberds, Southern Institute of Forest Genetics
• Stephen Robinson, Wake Forest University, Resonance problems for the p-Laplacian (S)
• Klaus Schmitt, University of Utah, Perturbations of nonlinear elliptic operators at resonance (P)
• Sebastian J. Schreiber, Western Washington University, Necessary and sufficient conditions for Cr robust permanence (C)
• James Selgrade, North Carolina State University, Stability and bifurcation for a discrete migration model with density-dependent selection (C)
• Junping Shi, Tulane University, Exact multiplicity of solutions to sublinear and superlinear problems (C)
• Ratsingham Shivaji, Mississippi State University, A note on the positivity of nonnegative solutions for semipositone problems (S)
• Hal Smith, Arizona State University, A mathematical model of microbial growth and competition in a plug flow reactor: a model for the gut (S)
• Angel Soriano, Instituto de Matematicas, UNAM, Mexico, Existence of solutions from dynamic programming to some Hamilton-Jacobi-Bellman equations with a nonlinear mixed boundary condition (C)
• Gregory Spradlin, United States Military Academy, A singularly perturbed elliptic partial differential equation with an almost periodic term (C)
• Ivar Stakgold, University of Delaware, Gas-solid reaction with porosity change (C)
• Eric Stemmons, Arizona State University, Competition in a chemostat with wall growth (C)
• Roberto A. Sussman, Instituto de Ciencias Nucleares, UNAM, The geodesic convergences of spacetime manifolds seen as dynamical systems: a covariant approach to chaos in general relativity (C)
• Susanna Terracini, Politecnico di Milano, Remarks on the use of the maximum principle in critical point theory (S)
• Horst R. Thieme, Arizona State University, Endemic models with arbitrarily distributed periods of infection (S)
• Alexander Tovbis, University of Central Florida, Deterministic chaos and analysis of singularities (C)
• Erik Van Vleck, Colorado School of Mines, Improved numerical shadowing using componentwise bounds and a sharper fixed point result (S)
• Vladimir Varlamov, Escuela Colombiana de Ingenieria, Long time asymptotic expansion for the damped Boussinesq equation (C)
• Jose Velasquez, Universidad de Antioquia, Colombia
• Zhi Qiang Wang, Brigham Young University, Strong resonant problems for elliptic Dirichlet problems (C)
• James Ward, University of Alabama-Birmingham, Bounded solutions of differential equations (S)
• Fabio Zanolin, Universita di Udine, Italy, Positive solutions for elliptic problems under oscillatory-type conditions on the potential (S)
• Mary Lou Zeeman, Univ. of Texas at San Antonio, Geometric methods in competitive Lotka-Volterra systems (S)

Special Issue Editors

	Chris Cosner Department of Mathematics University of Miami Coral Gables, FL 33124 e-mail: gcc@cs.miami.edu
	Stephen Cantrell Department of Mathematics University of Miami Coral Gables, FL 33124 e-mail: rsc@math.miami.edu

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