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Discovering Evolution Equations with Applications: Deterministic Equations (1) - Couverture rigide

Livre 14 sur 14: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

McKibben, Mark A.

 
9781420092073: Discovering Evolution Equations with Applications: Deterministic Equations (1)
Couverture rigide
ISBN 10 : 1420092073 ISBN 13 : 9781420092073
Editeur : Chapman & Hall/CRC, 2010

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Chapman & Hall/CRC
Date d'édition
2010
Langue
anglais
ISBN 10 
1420092073
ISBN 13 
9781420092073
Reliure
Relié
Nombre de pages
448
Coordonnées du fabricant
Buchpark GmbH
https://www.buchpark.de

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