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Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations (Chapman & Hall/CRC Applied Mathematics & Nonlinear Science) - Hardcover
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.
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About the Author
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.
"About this title" may belong to another edition of this title.
- PublisherChapman and Hall/CRC
- Publication date2010
- ISBN 10 1420092073
- ISBN 13 9781420092073
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages466
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