Stability of Motion of Nonautonomous Systems (Methods of Limiting Equations): (Methods of Limiting Equations...

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Junji Kato A. A. Martynyuk

Stability of Motion of Nonautonomous Systems (Methods of Limiting Equations)

(Methods of Limiting Equations

Junji Kato, A. A. Martynyuk, A. A. Shestakov

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English

CRC Press
25 November 2019

Functional analysis & transforms; Differential calculus & equations; Maths for scientists; Maths for engineers

Continuing the strong tradition of functional analysis and stability theory for differential and integral equations already established by the previous volumes in this series, this innovative monograph considers in detail the method of limiting equations constructed in terms of the Bebutov-Miller-Sell concept, the method of comparison, and Lyapunov's direct method based on scalar, vector and matrix functions. The stability of abstract compacted and uniform dynamic processes, dispersed systems and evolutionary equations in Banach space are also discussed. For the first time, the method first employed by Krylov and Bogolubov in their investigations of oscillations in almost linear systems is applied to a new field: that of the stability problem of systems with small parameters. This important development should facilitate the solution of engineering problems in such areas as orbiting satellites, rocket motion, high-speed vehicles, power grids, and nuclear reactors.

By: Junji Kato, A. A. Martynyuk, A. A. Shestakov
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 246mm, Width: 174mm,
Weight: 453g
ISBN: 9780367455965
ISBN 10: 036745596X
Pages: 274
Publication Date: 25 November 2019
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Paperback
Publisher's Status: Active

Professor Kato is based at the Mathematical Institute at Tohoku University in Japan where he actively pursues his research interest in the field of stability of motion. Professor Martynyuk has headed the Stability of Processes Division at the Institute of Mechanics in Kiev since 1978. His main research interests include theory of stability of motion of systems modelled by ordinary and partial differential equations, control of motion, and theory of large-scale systems. Professor Shestakov is also involved in research into stability and control at the Institute of Railway Transport in Moscow.