Differential Equations with Applications in Biology, Physics, and Engineering

Jerome A. Goldstein Department of Mathematics Tulane University New Orleans, Louisiana. Franz and Kappe l Wilhelm, Schappachen Institute for Mathematics University of Graz, Austria.

Preface; List of Participants ; Variational Inequalities and the Contact of Elastic Plates; Analytic Semigroups: Applications to Inverse Problems for Flexible Structures; A Maximum Principle for Semilinear Parabolic Network Equations; Pair Formation in Structured Populations; Positivity for Operator Matrices; Time Dependent Differential Equations in Non Reflexive Banach Spaces; Towards a Numerical Analysis of the Escalator Boxcar Train; A n Application of Polynomial Operator Matrices to a Second Order Cauchy Problem; Asymptotic Convergence for a Class of Auto catalytic Chemical Systems; Second Order Parabolic Equations in Banach Space; On the Modified Korteweg-deVries Equation;I ntegrodifferential Equations with Nondensely Defined Operators; On Nodes of Local Solutions to Schrôdinger Equations; On Integro-Differential Equations with Weakly Singular Kernels; Ground States of Semi-Linear Diffusion Equations; Uniform Energy Decay of a Class of Cantilevered Nonlinear Beams with Nonlinear Dissipation at the Free End; Neumann Boundary Stabilization of Structurally Damped Time Periodic Wave and Plate Equations; Convergence in Lotka-Volterra Systems with Diffusion and Delay; Exact Finite Dimensional Representations of Models for Physiologically Structured Populations. I:The Abstract Foundations of Linear Chain Trickery; The Nonrelativistic Limit of Klein-Gordon and Dirac Equations; Spatially Degenerate Diffusion with Periodic-Like Boundary Conditions; Scattering Theory of a Supersymmetric Dirac Operator.