An Algorithm for Constructing Lyapunov Functions
by Sigurdur Freyr Hafstein
Number of pages: 100
In this monograph we develop an algorithm for constructing Lyapunov functions for arbitrary switched dynamical systems, possessing a uniformly asymptotically stable equilibrium. We give numerous examples of Lyapunov functions constructed by our method at the end of the monograph.
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The origin of scattering theory is the study of quantum mechanical systems. The scattering theory for perturbations of the flat Laplacian is discussed with the approach via the solution of the Cauchy problem for the corresponding perturbed equation.
by Erich Miersemann - Leipzig University
These lecture notes are intended as an introduction to linear second order elliptic partial differential equations. From the table of contents: Potential theory; Perron's method; Maximum principles; A discrete maximum principle.
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