Symmetries of Integro-Differential Equations: With Applications in Mechanics and Plasma Physics by Sergey V. MeleshkoSymmetries of Integro-Differential Equations: With Applications in Mechanics and Plasma Physics by Sergey V. Meleshko

Symmetries of Integro-Differential Equations: With Applications in Mechanics and Plasma Physics

bySergey V. Meleshko, Yurii N. Grigoriev, N. Kh. Ibragimov

Paperback | July 12, 2010

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This book provides an accessible yet comprehensive description of the application methods of group analysis to integro-differential equations. It offers both fundamental theoretical and algorithmic aspects of these methods and includes instructive examples.
Title:Symmetries of Integro-Differential Equations: With Applications in Mechanics and Plasma PhysicsFormat:PaperbackDimensions:305 pagesPublished:July 12, 2010Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048137969

ISBN - 13:9789048137961

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Table of Contents

to Group Analysis of Differential Equations.- to Group Analysis and Invariant Solutions of Integro-Differential Equations.- The Boltzmann Kinetic Equation and Various Models.- Plasma Kinetic Theory: Vlasov-Maxwell and Related Equations.- Symmetries of Stochastic Differential Equations.- Delay Differential Equations.

Editorial Reviews

From the reviews:"The present book deals with a large number of topics concerning symmetries of integro-differential, stochastic and delay equations that are met in many fields, from fluid mechanics and plasma physics to biology and so on. . In conclusion, the book is rich in results and is of interest not only to physicists and applied scientists, but also to mathematicians working with (nonlinear) integrodifferential equations." (Alfredo Lorenzi, Mathematical Reviews, Issue 2011 i)"The reviewed collective monograph is very useful to both physicists and mathematicians interested in general methods for investigation of nonlinear problems using symmetries. It can also serve as a textbook on symmetries of I-DEs, stochastic and delay equations for graduate students in applied mathematics, physics and engineering." (Boris V. Loginov, Zentralblatt MATH, Vol. 1203, 2011)