Proceedings of the seventh International Colloquium on Differential Equations

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Frontmatter -- CONTENTS -- Preface -- Identifying the Jordan canonical form and associated non-singular transformations -- Forward dynamic programming for the numerical solution of parabolic control problems -- Optimal control of Goursat systems over varying domains -- On Newton's problem under side constraints -- Parameters estimation of some electro-elasticity models -- A nonlinear suspension bridge equation -- Uniqueness in the Cauchy problem for the heat equation -- Existence and uniqueness of solutions for a class of abstract nonlinear wave equation -- Asymptotic expansions for some classical operators and their use in approximation theory -- Some over-determined boundary-value problems for hyperbolic equations -- On asymptotic properties in a neighbourhood of infinity of solutions of elliptic equations -- Further development of minimum curvature multi-step quasi-Newton methods -- Some results about boundary conditions for a discrete model in elasticity -- On local and global solvability of nonlinear mixed problems modelling vibrations of a string -- Poincare-Bendixson type theorems for n dimensional spaces -- The effect of heterogeneity in sharing rates and choice of shooting gallery on the spread of HIV amongst sharing injecting drug users -- Nontrivial solutions for a fourth order O.D.E. with singular boundary conditions -- The limiting problem in a double free boundary problem -- On a Lienard system with three equilibrium points -- Re-examination on validity of analytic solution of Bessel's equation to estimate the magnitude of fluctuation of stem wood temperature in standing Pinus densiflora trees -- Some modernizations the Gronwall-Bellman Lemma and its application to differential equations with delay -- Numerical analysis of pseudozeros and pseudospectra -- Characterization of the holomorphy of infinite dimensional domains by Oka's principle -- Numerical analysis on 8-problem and extension of holomorphic functions from lower dimensional subvarieties -- On triple systems and Yang-Baxter equations -- On continuation of Gevrey class solutions of linear partial differential equations -- Convergence properties of periodic solutions on a piecewise linear differential equation -- Norm estimates for Schrodinger semigroups with magnetic fields -- On linear differential equations for fractional order -- Differentiability for nonlinear parabolic systems -- Extension of holomorphic mappings into manifolds with weak disc property -- Global instability of natural convection in an elliptic cavity, using a Fourier spectral difference method -- Capacity associated with an a-parabolic operator -- Martin Boundary at Infinity for the Heat Equation -- A general form of a mean value property for poly-temperatures on a strip domain -- Cohomology vanishing and q-convex functions on infinite dimensional domains -- The existence and the continuation of holomorphic solutions for convolution equations in a half-space in Cn -- Solvability and propagation of singularities for some class of microdifferential equations in the spaces of micro-distributions -- Rapidly varying behaviour of the solutions of a second order linear differential equation -- Stability of Lie groups of the perturbed non-linear wave equation -- Application of weighted ranking methods for tie-break simulations -- Chaotic mixing of viscous fluids: a marangoni-convection-driven example -- Numerical solutions to the minimum-time problem for linear second-order conflict-controlled systems -- Nonlinear thermoelasticity and symmetry -- Saddle point methods in spatial models of biological systems -- The asymptotic spatial behaviour of a class of epidemic models -- A generalized diffusion equation -- Analysis of a degenerate Hopf bifurcation in a PID controlled CSTR -- On the arithmetic properties of the modular function induced from the hypergeometric differential equation of type (3,6) -- Caloric morphisms and a generalization of the Appell transformation -- Boundary behaviors of