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Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations - Rilegato

Libro 14 di 14: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

McKibben, Mark

 
9781420092073: Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations
Rilegato
ISBN 10: 1420092073 ISBN 13: 9781420092073
Casa editrice: Chapman and Hall/CRC, 2010

Sinossi

Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations provides an engaging, accessible account of core theoretical results of evolution equations in a way that gradually builds intuition and culminates in exploring active research. It gives nonspecialists, even those with minimal prior exposure to analysis, the foundation to understand what evolution equations are and how to work with them in various areas of practice.

After presenting the essentials of analysis, the book discusses homogenous finite-dimensional ordinary differential equations. Subsequent chapters then focus on linear homogenous abstract, nonhomogenous linear, semi-linear, functional, Sobolev-type, neutral, delay, and nonlinear evolution equations. The final two chapters explore research topics, including nonlocal evolution equations. For each class of equations, the author develops a core of theoretical results concerning the existence and uniqueness of solutions under various growth and compactness assumptions, continuous dependence upon initial data and parameters, convergence results regarding the initial data, and elementary stability results.

By taking an applications-oriented approach, this self-contained, conversational-style book motivates readers to fully grasp the mathematical details of studying evolution equations. It prepares newcomers to successfully navigate further research in the field.

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Informazioni sull'autore

Mark A. McKibben is an associate professor in the mathematics and computer science department at Goucher College in Baltimore, Maryland, USA. Dr. McKibben is the author of more than 25 research articles and a referee for more than 30 journals. His research areas include differential equations, stochastic analysis, and applied functional analysis.

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Editore
Chapman and Hall/CRC
Data di pubblicazione
2010
Lingua
Inglese
ISBN 10 
1420092073
ISBN 13 
9781420092073
Rilegatura
Copertina rigida
Numero edizione
1
Numero di pagine
466
Contatto del produttore
Taylor and Francis, GPSR Taylor and Francis
gpsr@taylorandfrancis.com

Taylor & Francis Verlag GmbH, Kaufingerstraße 24
München
80331
Germania

Altre edizioni note dello stesso titolo

9781138117785: Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations

Edizione in evidenza

ISBN 10:  1138117781 ISBN 13:  9781138117785
Casa editrice: Chapman and Hall/CRC, 2017
Brossura