November 3 - 8, 2003.

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 in a Foreword Message by the editors of the proceedings: Angel D. Rueda, Jorge Guíñez, Hugo Leiva.
**Table of contents.** (In alphabetical order)

- Wadie Aziz, Teodoro Lara;
*Controllability, applications, and numerical simulations of cellular neural networks*, Conf. 13(2005), pp. 1-11. - Jean Louis Calvet, Juan Cardillo, Jean Claude Hennet, Ferenc Szigeti;
*Method of relaxation applied to optimization of discrete systems*, Conf. 13(2005), pp. 13-19. - Rafael Galeano A., Bernardo Orozco H., Maria Ofelia Vasquez A.;
*The relativistic Enskog equation near the vacuum*, Conf. 13(2005), pp. 21-27. - Jorge Guinez, Robert Quintero, Angel D. Rueda;
*Critical points of the steady state of a Fokker-Planck equation*, Conf. 13(2005), pp. 29-34. - Jairo Hernandez;
*A system of semilinear evolution equations with homogeneous boundary conditions for thin plates coupled with membranes*, Conf. 13(2005), pp. 35-47. - Serguei I. Iakovlev;
*Friedrichs model operators of absolute type with one singular point*, Conf. 13(2005), pp. 49-56. - Valentina Iakoleva, Carmen Judith Vanegas;
*On the solution of differential equations with delayed and advanced arguments*, Conf. 13(2005), pp. 57-63. - Hanzel Larez;
*Spectral decomposition theorem for compact self-adjoint operators in prehilbert spaces*, Conf. 13(2005), pp. 65-74. - Hugo Leiva;
*Exact controllability of a non-linear generalized damped wave equation: Application to the Sine-Gordon equation*, Conf. 13(2005), pp. 75-88. - Cecilia Nava de Villegas, Ferenc Szigeti;
*Optimization of discrete-discrete hybrid dynamical systems and its application to problem solving*, Conf. 13(2005), pp. 89-94. - Romen Saks, Carmen Judith Vanegas;
*Solution of a spectral problem for the curl operator on a cylinder*, Conf. 13(2005), pp. 95-99. - Maksim Sokolov;
*The division method for subspectra of self-adjoint differential vector-operators*, Conf. 13(2005), pp. 101-112.

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

Author's name, *Title of the article*,
2003 Colloquium on Diff. Eqns. and Appl.;
Electron. J. Diff. Eqns., Conf. 13 (2005), pp. ##-##.

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