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 presents a survey of the results that are needed for the second, applied part of the book; worked examples are provided to help absorb the theoretical material. The second part then deals with the application of the developed theory to a variety of problems ranging from the classical birth-and-death type problems of population dynamics, through fragmentation models in both conservative and mass loss regimes, to kinetic models.
The only prerequisites are a basic knowledge of functional analysis and measure theory. This is an essential one-stop reference for graduate and postgraduate students and researchers in applied analysis and mathematical physics who are interested in the application of functional analytic techniques to concrete problems arising in physics, biology and engineering.
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Vendeur : Better World Books, Mishawaka, IN, Etats-Unis
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Vendeur : Grand Eagle Retail, Bensenville, IL, Etats-Unis
Hardcover. Etat : new. Hardcover. This book is devoted predominantly to one particular way of looking at the evolution of the system in which we describe time changes as transitions from one state to another. This leads in a natural way to the semigroup theory that has been developed in the last fifty years. There are many applications coming from kinetic theory, fragmentation theory, mathematical biology and many other fields, where the assumptions of standard perturbation theory are not satisfied. In this book the authors concentrate on perturbation results that take advantage of the fact that in many applications the operators involved are positive (as only nonnegative data and solutions make sense) and dissipative. The main part of the book is devoted to linking the properties of the generator with the properties of the semigroup, that are important in applications. In the final part of the book the authors discuss applications of the developed theory to a variety of problems ranging from the classical birth-and-death type problems of population dynamics, through fragmentation models in both conservative and mass loss regimes, to kinetic models.The authors also discuss a few miscellaneous applications that do not fit into their theory exactly but nevertheless their treatment draws substantially from it. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9781852339937
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