Description
Springer Perturbations Of Positive Semigroups With Applications 2005 Edition by Jacek Banasiak Luisa Arlotti
This book deals mainly with modelling systems that change with time. The evolution equations that it describes can be found in a number of application areas such as kinetics fragmentation theory and mathematical biology. This will be the first self-contained account of the area. Table of contents : Basic Facts from Functional Analysis and Banach Lattices.- An Overview of Semigroup Theory.- Some Classical Perturbation Results.- Positive Perturbations of Positive Semigroups.- Substochastic Semigroups and Generator Characterization.- Applications to Birth-and-death Problems.- Applications to Pure Fragmentation Problems.- Fragmentation with Growth and Decay.- Applications to Kinetic Theory.- Singularly Perturbed Inelastic Collision Models.