Proceedings of the Eighth International Colloquium on Differential Equations, Plovdiv, Bulgaria, 18 23 August, 1997

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Frontmatter -- CONTENTS -- Preface -- Professor Antonino Maugeri awarded with the prize of the International Colloquia on Differential Equations -- 50th Anniversary of Prof. P. Popivanov -- Study of the Ince Equation -- Trace Formula for the Sturm-Liouville Operator with Singularity -- Inverse Spectral Problem for the Differential Equation of the Second Order with Singularity -- Application of the Laplace, Mellin and Stieltjes Transformations in the Evaluation of Integrals -- Asynchronous Multisplitting Algorithms for Differential-Algebraic Systems Discretized by Runge-Kutta Methods -- Forced Oscillations of Solutions of Parabolic Equations of Neutral Type with Maxima -- On the Stability of Solutions of Impulsive Parabolic Differential-Functional Equations -- Approximate Analysis of Non-Cyclic Multi-Queue Systems with Batch Markovian Arrival Streams -- Nonlocal Problems Modelling the Formation of Shear Bands -- Solution of the Dirichlet Problem for Laplace Equation on Domains with Analytic Boundaries -- Ill-Conditioning in Optimal Control Computation -- Differentiability of Solutions of an Electro-Elasticity Model w.r.t. Parameters -- Efficient and Accurate Local Time Stepping Algorithm for Multi-Rate Problems -- Improving Laguerre's Method to Cope with Symmetry Pitfalls in Polynomial Root-Finding -- A Nonlinear Wave Equation with Jumping Nonlinearity -- Regular Solutions and Stability for the Nonlinear Thermoviscoelastic System with Nonlinear Damping on the Boundary -- Analytical Solutions of the Navier-Stokes Equation for the Laminar and Turbulent Boundary Layer, Over a Flat Plate -- Solving Singular Integral Equations -- Asynchronous Multisplitting Methods with Flexible Communication for Pseudolinear P.D.E. -- On the Approximation of an Infinite-Dimensional Linear Programming Problem -- Partial HÖlder Continuity Results for Solutions of non Linear non Variational Elliptic Systems with Strictly Controlled Growth -- A Structured Approach to Toeplitz and Toeplitz-like Linear Systems with Applications to (semi) Elliptic Problems -- Finding Voxels Shared by a Ray and a Linear Octree -- Existence and Uniqueness Theorem for an Oblique Derivative Problem for Nonlinear Elliptic Discontinuous Operators in the Plane -- Special Functions in Fractional Relaxation-Oscillation and Fractional Diffusion-Wave Phenomena -- Mathematical Modelling of Immunization Programs for Hepatitis A in Bulgaria -- Complete-Integrable Calogero Dynamics for Random Matrix Theories -- On Optimal Order of Approximation from Bivariate Spline Spaces -- Solitary-wave Solution of Turbulence with Application to B ?nard Convection -- Hermite Rational Matrix Approximation of Riccati Differential Equations -- A Construction of Jordan Superalgebras from Triple Systems -- Small Amplitude Fundamental Periodic Solutions on a Piecewise Linear Differential Equation -- Monotonicity Methods for Stability Analysis of the Characteristic Polynomials Whose Coefficients are Polynomials -- Employing Transform Orthogonality in the Determination of Integral Identities Involving Arbitrary Functions -- Parallel Algorithm for Construction of Singular Surfaces in Linear Differential Games -- Algorithms and Software for Selfadjoint ODE Eigenproblems -- ?2?-Theory for Nonvariational Basic Parabolic Systems -- A New Approach to the Description of Deep Water Waves Using Fractional Derivatives -- Application of a Spectral Finite Difference Scheme to a Complex Configuration -- A New Minimum Curvature Multi-Step Method for Unconstrained Optimization -- Towards a Real RealRAM: a Prototype Using C++ -- Asymptotic Behaviour of Solutions of an Impulsive Semilinear Parabolic Cauchy Problem -- Error Estimates of Optimal Orders for One Dimensional Stefan Problems -- Optimal Checking in Reliability Theory -- Integration of Some Constitutive Relations of Plain Strain Elastoplasticity Using Block-Embedded Modified Runge-Kutta Methods -- Numerical Study of the Homicidal Chauffeur Game -- Nonlocal Regulari