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This volume comprises the proceedings of the "3rd International Conference on Distributed Parameter Systems" held at the Chorherrenstift Vorau (Styria), July 6-12, 1986. The aim of the meeting was to stimulate exchange of information between scientists working in the field of distributed parameter systems. The papers included in the proceedings present recent results and most of them include a survey on the background of the problem. Main topics considered in these papers are boundary control for hyperbolic systems, linear-quadratic control problems, robustness, stabilization, visco-elastic...

This volume comprises the proceedings of the "3rd International Conference on Distributed Parameter Systems" held at the Chorherrenstift Vorau (Styria), July 6-12, 1986. The aim of the meeting was to stimulate exchange of information between scientists working in the field of distributed parameter systems. The papers included in the proceedings present recent results and most of them include a survey on the background of the problem. Main topics considered in these papers are boundary control for hyperbolic systems, linear-quadratic control problems, robustness, stabilization, visco-elastic...

This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille-Yosida), nonlinear (Crandall-Liggett) and time-dependent (Crandall-Pazy) theorems.The implicit finite difference method of Euler is shown to generate a sequence convergent to the unique integral solution of evolution equations of the maximal monotone type. Moreover, the Chernoff theory provides a sufficient condition for consistent and stable time integration of time-dependent nonlinear equations. The Trotter-Kato theorem and...

These 22 papers on control of nonlinear partial differential equations highlight the area from a wide variety of viewpoints. They comprise theoretical considerations such as optimality conditions, relaxation, or stabilizability theorems, as well as the development and evaluation of new algorithms. A significant part of the volume is devoted to applications in engineering, continuum mechanics and population biology.

Suitable as a textbook for a graduate seminar in mathematical modelling, and as a resource for scientists in a wide range of disciplines. Presents 22 lectures from an international conference in Leibnitz, Austria (no date mentioned), explaining recent developments and results in differential equatio