General Problem of the Stability Of Motion

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CRC Press, Aug 28, 1992 - Science - 270 pages
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This book makes more widely accessible the text of Lyapunov's major memoir of the general problem of the stability of motion. Translated by A. T. Fuller (University of Cambridge), the work is now available for the first time in the English language, and marked the centenary of the Russian publication in the late 1800s. Including a biography of Lyapunov and a comprehensive bibliography of his work, this excellent volume will prove to be of fundamental interest to all those concerned with the concept of the stability of motion, boundaries of stability, and with nonlinear dynamics.
 

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Contents

CONTENTS
19
Study of the convergence of these series in the case where the arbitrary
25
On certain systems of linear differential equations
31
l0 Reducible systems of equations
47
Ensuing consequences relevant to stability
56
l6 Fundamental propositions
62
Study of steady motion
71
Biography of A M Lyapunov
255
Bibliography of A M Lyapunovs work
265
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