CONTENTS -- Preface -- On the Boundedness of xn+k=C+ Zk-1 i=0 (bi

2 Dynamics on the Attractors of Parabolic Partial Differential Equations -- 3 Dynamics on the Attractors of Hyperbolic Partial Differential Equations -- 4 Appendix -- 4.1 References -- The Mathematics of Informational Asymmetry -- Abstract -- 1 Introduction -- 2 Incentive-compatible contracts -- 3 u-convex analysis -- 4 The reallocation principle -- 5 Optimization under incentive constraints -- References -- Recent Progress in the Theory of Generalized Closed Sets -- 1 Introduction and Preliminaries -- 2 Results -- 3 Lower Separation Axioms -- 4 Gp - closed Sets -- 5 Sg - compact Spaces -- 6 Concluding Remark -- References -- Misconceptions in Mathematics -- Abstract -- Introduction -- Objectives -- Hypothesis -- Procedure and findings -- Results -- Recommendations. -- References -- On the Category-Theoretic Approach to Differential Geometry -- Abstract -- Introduction -- 1 Why Cartesian Closed Categories and Infinitesimal Quantities? -- 2 Calculus in a Cartesian Closed Category of Smooth Objects -- 3 A Sketch of the Construction of Models -- References -- Twenty-One Characterizations of Genus Zero -- Abstract -- Introduction -- 1 Basic properties of coh(C) -- 2 The characterization -- 3 Algebraically closed base field -- 4 Comments -- References -- Some Recent Developments on the Hydrodynamic Limit of the Boltzmann Equation -- 1 The Boltzmann equation -- 1.1 The model -- 1.2 The convergence towards the incompressible Navier-Stokes -- 1.3 The convergence towards the Stokes system -- 1.4 Convergence towards the Euler system -- References -- Piecewise Prime Rings -- 0. Introduction -- 1. Background -- 2. Structures -- 3. Finiteness Conditions -- 4. Extensions -- References -- On the Existence of the Solution for the Equations Modelling Contact Problems -- ABSTRACT.

1. THE DIFFERENTIAL AND THE VARIATIONAL FORMS OF THE STATIC CONTACT PROBLEM -- 2. THE EXISTENCE OF A SOLUTION TO THE OPERATORIAL EQUATION MODELLING THE STATIC CONTACT PROBLEM -- 3. THE DIFFERENTIAL AND THE VARIATIONAL FORMS OF THE DYNAMIC CONTACT PROBLEM -- 4. THE PENALTY APPROXIMATION AND THE REGULARIZATION OF THE FRICTION FUNCTIONAL -- 5. THE EXISTENCE OF A SOLUTION OF THE EQUATION MODELLING THE DYNAMIC CONTACT PROBLEM -- REFERENCES -- Applications of Stochastic Differential Equations to Ecological Data -- Summary -- Introduction -- Some Estimation Techniques -- Two Examples from Ecology -- References -- Decomposition of Measures on Difference Posets -- 1 INTRODUCTION -- 2 PRELIMINARIES -- 3 DECOMPOSITION OF MEASURES -- 4 THE JORDAN-HAHN DECOMPOSITION -- REFERENCES -- On Nonlinear Wave Equations with Damping and Source Terms -- 1. INTRODUCTION -- 2. PRELIMINARIES -- 3. INITIAL-BOUNDARY VALUE PROBLEMS -- 4. THE CAUCHY PROBLEM -- REFERENCES -- Approximation Theory for Parameter Identification in Nonlinear Delay Evolution Equations -- ABSTRACT -- 1 Survey of Recent Results -- 2 The Delay Problem -- 3 Existence and Uniqueness -- 4 Convergence Theory -- 5 Applications -- References -- On Mesoscopic Superconducting Samples -- Abstract -- 1. Introduction -- 2. Existence and regularity of minimizers of the Ginzburg - Landau functional in two dimensions -- 3. Little Parks oscillations -- 4. The Zero Set -- References -- Some Strange Numerical Solutions of the Non-Stationary Navier-Stokes Equations in Pipes -- Abstract -- 1 Introduction -- 2 The Basic Notations and Equations -- 3 Explanation of the Galerkin- Approximations -- 4 Numerical Experiments and Results -- References -- On Super and S-Continuities -- Abstract -- 1. INTRODUCTION. -- 2. BASIC RESULTS. -- 3. HAUSDORFF SPACES AND S-CONTINUITIES. -- 4. APPLICATIONS -- REFERENCES.

Design of User Interface for Computer-Aided Instruction of Mathematics -- Abstract -- 1 Introduction -- 2 Natural object interface from the user viewpoint -- 2.1 The command line interface -- 2.2 Command system as an obstacle to educational use -- 2.3 Menu-dialog interface -- 2.4 Natural object interface -- 3 Visualized representations of abstract objects - eidola -- 4 Natural object syntax -- 5 Didactic remarks -- 6 Program architecture behind natural object interface -- References -- Asymptotic Behavior of Viscous 1-D Scalar Conservation Laws with Neumann Boundary Conditions -- ABSTRACT -- 1. INTRODUCTION -- 2. GLOBAL EXISTENCE AND REGULARITY -- 3. LONG-TIME DYNAMICS -- REFERENCES -- On the Category of Comodules over Corings -- Abstract -- 1 Introduction -- 2 Some module theory -- 3 Corings and comodules -- References -- Regularity of the Blow-Up Set and Singular Behavior for Semilinear Heat Equations -- Abstract -- 1 The regularity of the blow-up set -- 2 The blow-up behavior near a non isolated blowup point -- 3 Further refinements when the codimension of the blow-up set is one -- References.