Mark McKibben

Discovering Evolution Equations with Applications (eBook, PDF)

Volume 2-Stochastic Equations

• Format: PDF

Produktbeschreibung

This text provides an introductory understanding of stochastic evolution equations for those with minimal formal training in mathematics. It develops all necessary prerequisite material in real analysis, probability theory, and functional analysis. The author presents examples of 20 different models spanning chemical kinetics, pharmacokinetics, neural networks, mathematical physics, epidemiology, environmental issues, and more. He also covers recent research areas, including functional and Sobolev-type stochastic evolution equations. More than 500 questions and exercises are included throughout, with hints at the end of each chapter.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 463
• Erscheinungstermin: 3. Juni 2011
• Englisch
• ISBN-13: 9781420092127
• Artikelnr.: 38287260

Autorenporträt

Mark A. McKibben is a professor of mathematics and computer science at Goucher College. He serves as a referee for more than 30 journals and has published numerous articles in peer-reviewed journals. Dr. McKibben earned a Ph.D. in mathematics from Ohio University. His research interests include nonlinear and stochastic evolution equations.

Inhaltsangabe

A Basic Analysis Toolbox. The Bare-Bone Essentials of Probability Theory.
Linear Homogenous Stochastic Evolution Equations in R. Homogenous Linear
Stochastic Evolution Equations in RN. Abstract Homogenous Linear Stochastic
Evolution Equations. Nonhomogenous Linear Stochastic Evolution Equations.
Semi-Linear Stochastic Evolution Equations. Functional Stochastic Evolution
Equations. Sobolev-Type Stochastic Evolution Equations. Beyond Volume 2.
Bibliography. Index.