Book contains papers by recognized experts in the field of fractional calculus--the study of operators involving derivatives and/or integrals of orders that are not necessarily positive integers.

Fractional Calculus (Research Notes in Mathematics Series)

Science & Math

McBride, A. C.

Mathematics

Longman Sc & Tech

Semigroups of Linear Operators: An Introduction (Pitman Research Notes in Mathematics Series)

Longman Scientific and Technical

Recent Developments in Evolution Equations (Research Notes in Mathematics Series)

Addison-Wesley Longman Ltd

<p>Mathematical Methods in Practice Advisory Editors Bruno Brosowski Universität Frankfurt Germany Gary F. Roach University of Strathclyde UK Volume 3 Applied Nonlinear Semigroups A. Belleni-Morante University of Florence, Italy A. C. McBride University of Strathclyde, UK In many disciplines such as physics, chemistry, biology, meteorology, electronics and economics, it is increasingly necessary to develop mathematical models that describe how the state of a system evolves with time. A useful way of studying such a model is to recast the appropriate evolution equation as an Abstract Cauchy Problem (ACP), which can then be analysed via the powerful theory of semigroups of operators. The user-friendly presentation in the book is centred on Abstract Cauchy Problems which model various processes such as particle transport,diffusion and combustion, all of which are examples of systems which evolve with time. The authors provide an introduction to the requisite concepts from functional analysis before moving on to the theory of semigroups of linear operators and their application to linear ACPs. These ideas are then applied to semilinear problems and fully nonlinear problems and it is shown how results from the linear theory can be extended. Finally, a variety of applications of practical interest are included. By leading a non-expert to the solutions of problems involving evolution equations via the theory of semigroups of operators, both linear and nonlinear, the book provides an accessible introduction to the treatment of the subject. The reader is assumed to have a basic knowledge of real analysis and vector spaces. M.Sc. and graduate students of functional analysis, applied mathematics, physics and engineering will find this an invaluable introduction to the subject.</p>

Applied Nonlinear Semigroups: An Introduction

Belleni-Morante, A.

Evolution

wiley

This book presents the majority of talks given at an International Converence held recently at the University of Strathclyde in Glasgow. The works presented focus on the analysis of mathematical models of systems evolving with time. The main topics are semigroups and related subjects connected with applications to partial differential equations of evolution type. Topics of particular interest include spectral and asymptotic properties of semigroups, B evolution scattering theory, and coagulation fragmentation phenomena.

Recent Developments in Evolution Equations (Chapman & Hall/CRC Research Notes in Mathematics Series)

Roach, G. F.

Chapman and Hall/CRC

Semigroups of Linear Operators: An Introduction (Pitman Research Notes in Mathematics Series,)

See the best price to sell, buy, or rent books by McBride, A. C.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by McBride, A. C.