Perturbations of Positive Semigroups with Applications

• Main Authors: Banasiak, Jacek (Author), Arlotti, Luisa (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2006.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Group theory.; Functional analysis.; Applied mathematics.; Engineering mathematics.; Physics.; Group Theory and Generalizations.; Applications of Mathematics.; Functional Analysis.; Mathematical Methods in Physics.; Appl.Mathematics/Computational Methods of Engineering.

Perturbations of Positive Semigroups with Applications is a self-contained introduction to semigroup theory with emphasis on positive semigroups on Banach lattices and perturbation techniques. The first part of the book, which should be regarded as an extended reference section, presents a survey of...

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.