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Riccati Equations
Egorov, AI
In this book, scalar, matrix and operator Riccati equations are considered. Theoretical questions and practical methods of solution of these equations are expounded. The necessary auxiliary facts from algebra, functional analysis and Lie group analysis are given. Theory is illustrated with solutions of numerous examples. The matrix Riccati equations are presented completely. Lie groups on matrices theory have been advanced for an analysis of these equations. Theoretical questions concerning matrix and operator equations are dealt with based on a variety of applied problems from mathematical physics, optimal control of finite dimensional systems and distributed parameters systems.
Alexander Ivanovich Egorov, born 1930, D. Sc. (Physics & Mathematics), Professor at the Moscow Institute of Physics and Technology, leading researcher at the Program Systems Institute of the Russian Academy of Sciences. The author of more than 100 papers on the theory of optimal control, including several monographs, all in Russian: Optimal control with heat and diffusion processes, Moscow: Nauka, 1978; Optimal control with linear systems, Kiev, 1988; Mathematical methods of the optimization of heat and diffusion processes (co-authored with R. R. Rafatov), Frunze, 1990; Riccati equations, Moscow: Fizmatlit, 2001; Foundations of control theory, Moscow: Fizmatlit, 2004; Ordinary differential equations with applications, Moscow: Fizmatlit, 2005. The present monograph is a revised English translation of the 2001 Russian edition.
Egorov, AI 2007.
Riccati Equations Russian Academic Monographs 5, ISBN 978-954-642-296-5, Pensoft Publishers, Sofia-Moscow, 165x240, formulas, equations, comments, references, 384pp., in English, hardback.
Price €URO 89.00
Europe: surface mail delivery €URO 12, airmail delivery €URO 18;
Overseas: surface mail delivery €URO 15, airmail delivery €URO 20.
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Analytical Methods in Nonlinear Wave Theory
Molotkov, I.A.
The book is devoted to the development and description of analytical methods for this important branch of nonlinear physics - the theory of localized wave processes. The application of each method described in the book is illustrated by the solutions of concrete problems. The spectrum of these problems is very wide. Among them are the following: propagation and self-action of powerful wave beams in inhomogeneous media, propagation of intense acoustic beams, ultrashort pulses in nonlinear graded-index light guides, waves in media with internal structure, and long surface gravitational waves in fluids with variable depth. These topics are treated in detail.
The book is addressed to specialists in theoretical physics who study nonlinear phenomena in radiophysics, acoustics, optics, plasma theory, and geophysics; to specialists in mathematical physics; as well as to postgraduate students and students in corresponding specialities.
Professor Ivan A. Molotkov, Doctor of Sciences in Physics and Mathematics, laureate of a state prize in technical sciences. He is Principal Researcher and Head of a department at the Institute of Terrestrial Magnetism, Ionosphere and Radio Waves Propagation, Russian Academy of Sciences, Moscow, Russia. He is the author of more than 200 scientific papers, including 9 monographs. His main research interests lie in nonlinear physics as well as asymptotic and variational methods of analysis, especially as applied to the problems of physics, geophysics and astrophysics.
Molotkov, I.A., 2005. Analytical Methods in Nonlinear Wave Theory. ISBN 9546422487, Pensoft Publishers, Sofia-Moscow, 145x210, formulas, equations, comments, bibliography. In English. Hardback, 266 pp.
Price €URO 49.00
Europe: surface mail delivery €URO 11, airmail delivery €URO 15;
Overseas: surface mail delivery €URO 12, airmail delivery €URO 18.
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