May 13-14, 2005.

The following papers were submitted by the participants in the conference, then refereed and accepted for publication in a special issue of the Electronic Journal of Differential Equations. Details from the conference are available at http://math.msstate.edu/events/de.conf/de2005/. The editors of the proceedings are: John Graef, Hyeona Lim, Ratnasingham Shivaji, Bharat Soni, and Jianping Zhu.
**Table of contents.** (In alphabetical order)

- Vasilios Alexiades, Harihar Khanal;
*Multiphoton response of retinal rod photoreceptors*, Conf. 15(2007), pp. 1-9. - Douglas N. Arnold, Nicolae Tarfulea;
*Boundary conditions for the Einstein-Christoffel formulation of Einstein's equations*, Conf. 15(2007), pp. 11-27. - Miroslav Bartusek;
*Existence of noncontinuable solutions*, Conf. 15(2007), pp. 29-39. - Marian Bocea;
*Young measure minimizers in the asymptotic analysis of thin films*, Conf. 15(2007), pp. 41-50. - Canan Celik;
*Existence and non-existence results for a nonlinear heat equation*, Conf. 15(2007), pp. 51-65. - Dobromir T. Dimitrov, Hristo V. Kojouharov;
*Nonstandard numerical methods for a class of predator-prey models with predator interference*, Conf. 15(2007), pp. 67-75. - Hermann J. Eberl, Laurent Demaret;
*A finite difference scheme for a degenerated diffusion equation arising in microbial ecology*, Conf. 15(2007), pp. 77-95. - Clara E. Garza-Hume, Pablo Padilla;
*A pattern formation problem on the sphere*, Conf. 15(2007), pp. 97-106. - Jacques Giacomoni, Jyotshana V. Prajapat, Mythily Ramaswamy;
*Positive solutions for elliptic problems with critical indefinite nonlinearity in bounded domains*, Conf. 15(2007), pp. 107-126. - Chaitan P. Gupta;
*A non-resonant generalized multi-point boundary-value problem of Dirichelet type involving a p-laplacian type operator*, Conf. 15(2007), pp. 127-139. - Noureddine Hannoun, Vasilios Alexiades;
*Issues in adaptive mesh refinement implementation*, Conf. 15(2007), pp. 141-151. - Xiaojie Hou, Philip Korman, Yi Li;
*On the direction of pitchfork bifurcation*, Conf. 15(2007), pp. 153-158. - Gro Hovhannisyan;
*Error estimates for asymptotic solutions of dynamic equations on time scales*, Conf. 15(2007), pp. 159-162. - Jon Jacobsen, Owen Lewis, Bradley Tennis;
*Approximations of continuous Newton's method: An extension of Cayley's problem*, Conf. 15(2007), pp. 163-173. - Seongjai Kim, Hyeona Lim;
*A non-convex diffusion model for simultaneous image denoising and edge enhancement*, Conf. 15(2007), pp. 175-192. - Zhilin Li, Sharon R. Lubkin, Xiaohai Wan;
*An augmented IIM-level set method for Stokes equations with discontinuous viscosity*, Conf. 15(2007), pp. 193-210. - Claude Lobry, Frederic Mazenc, Alain Rapaport;
*Persistence in ratio-dependent models of consumer-resource dynamics*, Conf. 15(2007), pp. 211-220. - Jean Mawhin;
*Louis Nirenberg and Klaus Schmitt: The joy of differential equations*, Conf. 15(2007), pp. 221-228. - Chuanxi Qian, Yijun Sun;
*Global attractivity in a nonlinear difference equation*, Conf. 15(2007), pp. 229-238. - Joaquin Rivera, Yi Li;
*On the exact multiplicity of solutions for boundary-value problems via computing the direction of bifurcations*, Conf. 15(2007), pp. 239-249. - Matthew Rudd;
*Game-theoretic schemes for generalized curvature flows in the plane*, Conf. 15(2007), pp. 251-264. - Juergen Saal;
*Strong solutions for the Navier-Stokes equations on bounded and unbounded domains with a moving boundary*, Conf. 15(2007), pp. 365-375. - Klaus Schmitt;
*Revisiting the method of sub- and supersolutions for nonlinear elliptic problems*, Conf. 15(2007), pp. 377-385. - Christoph Walker;
*Prion proliferation with unbounded polymerization rates*, Conf. 15(2007), pp. 387-397. - James R. Ward Jr.;
*Existence, multiplicity, and bifurcation in systems of ordinary differential equations*, Conf. 15(2007), pp. 399-415.

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Note: Bibliographical references to articles in this
proceedings should be written as follows.

Author's name, *Title of the article*,
Sixth Mississippi State Conference on Differential Equations and
Computational Simulations;
Electron. J. Diff. Eqns., Conf. 15 (2007), pp. ##-##.

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