Proceedings of the Sixth International Colloguium on Differential Equations : Plovdiv, Bulgaria, 18{u2013}23 August, 1995

Adornos Arbeiten kreisen beständig um die Frage nach den Bedingungen der Möglichkeit eines besseren und gerechteren Lebens. Nimmt man das Glück als Ausgangspunkt von Adornos Denken ernst, so kommt der Kunst die Bedeutung zu, eine andere, gelungenere Welt aufscheinen zu lassen. Ausgehend von dieser Beobachtung untersucht die Autorin, wie Kunstwerke nach Adorno beschaffen sein müssen, um ein Glücksversprechen artikulieren zu können. Sie verbindet diese Frage der Produktion von Kunst mit einer rezeptionsästhetischen Perspektive, die das Glück der ästhetischen Erfahrung selbst in den Blick nimmt. Gerade in Adornos literatur- und kulturtheoretischen Essays, u.a. zu Beckett, Kafka, Hölderlin, Helms und Goethe, aber auch zur Heiterkeit der Kunst und zum Kitsch, finden sich Elemente einer Theorie des Glücks, so ihre These, die entscheidende Bedeutung für Adornos gesamtes Denken haben. Durch die historische Kontextualisierung seiner Essays rückt Groß das "Glück am Ästhetischen" in Adornos Werk ins Zentrum und zeigt, dass für ihn das Gelingen von Kunst einzig davon abhängt, ob ihr glücksversprechende Potentiale innewohnen. CONTENTS Preface Generating Optimal Runge-Kutta Methods Minimization Techniques in Neutral Network Supervised Training An Extended Marquardt-Levenberg Method for Function Minimization Approximate Iterative Method for a System of Nonlocal Parabolic Functional-Differential Problems On a Delay Logistic Equation with Nonlinear Average Growth Rate Griffiths' Formalism on the Calculus of Variations A Nonlinear Elliptic Equation with Nonlinearity Crossing Eigenvalues The Partial Differential Equation Associated to the Generalized Kac-Feynman Integral Equation A primal-dual method for discrete l p approximation Utilizing Curvature Information in Multi-step Quasi-Newton methods for Optimization Utilizing Curvature Information in Multi-Step Quasi-Newton Methods for Optimization On Numerical Results for the Generalized Curve Shortening Equations Analytic continuation of holomorphic solutions of partial differential equations The Condition (S) of Kawai, the Property of Completely Regular Growth and the Estimate of the Micro-Support of the Complex of a Convolution Operator One Approach to Exact Solutions of a piecewise Linear Differential Equation Numerical integration of irregularly oscillating functions by parameter-dependent compound quadrature formulae Initial Value Problem for Abstract Differential Equations of Sobolev Type A parallel approach to bivariate splines Recent results on Liénard systems Extension of Holomorphic Mappings in Infinite Dimension Numerical approximations to some nonlinear diffusion equation with strong absorption On the Initial Boundary Value Problem for the Linearized MHD Equation Modified Gompertz Curve and it's Applications I An Experimental Algorithm for Ending Eigenvalues On a Degenerate Boundary Value Problem for Second Order Quasilinear Elliptic Operators Some Improperly Posed Problems and their Nonlocal Regularization Methods for the Computation of Periodic Solutions of Dynamical Systems The Computation of Equilibrium Points of Up-to-Three Dimensional Dynamical Systems Using the Topological Degree Theory The boundary behavior of a bounded function Application of Statistical Moments on Exterior Dirichlet Problem Discrete Trigonometric Methods for Boundary Integral Equations in Hòlder-Zygmund Spaces On the conditioning and the solution, by means of multigrid methods, of symmetric (block) Toeplitz linear systems Differential Game Theory at Control System design for a Manipulator Two-Point Formulas in Hermite-Birkhoff Quadratures Numerical Direct Methods for Initial Value Problems of Any r-th-Order Ordinary Differential Equations A Stochastic Compartmental Model for Dynamic Biological Systems Round-Off Error of Numerical Integral by a Finite Chebyshev Series in a Floating-Point Number System Floating-Point Number Solutions in a Simple Linear Equation with Multiplication Algorithm Multi-Peak System Identification with Gauss-Weierstrass Transform Continuation of bounded holomorphic functions from one-codimensional subspace to pseudoconvex domains Singularities of surfaces defined by Monge-Ampere equations of hyperbolic type De Rham Cohomology of Toroidal Groups and Complex Line Bundles Generalized Bisection Methods for Imprecise Problems Periodic Orbits and Invariant Surfaces of Nonlinear Mappings Expected Behavior of Bisection Based Methods for Counting and Computing All the Roots of a Function Approximate Lie Symmetries for Diffusion Equations with Non-linear Perturbations On the Stability of a Multistep Method Numerical Treatment of Mathematical Models for Infectious Diseases Applications of the Beltrami Function in the Physics of Plasmas Necessary and sufficient conditions for Fredholmness of irregular singular partial differential operators On the Computation of Zeros of Bessel and Bessel-Related Functions Linearized Viscoelastic Wave Propagation