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

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

(Methods of Limiting Equations

by Junji Kato
Paperback
Publication Date: 25/11/2019

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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.
ISBN:
9780367455965
9780367455965
Category:
Maths for engineers
Format:
Paperback
Publication Date:
25-11-2019
Publisher:
Taylor & Francis Ltd
Country of origin:
United Kingdom
Pages:
274
Dimensions (mm):
246x174mm
Weight:
0.51kg

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