Accession Number : AD0663928

Title :   COLLECTED WORKS OF ACADEMICIAN A. M. LYAPUNOV. VOLUME II,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Lyapunov,A. M.

Report Date : 26 APR 1967

Pagination or Media Count : 467

Abstract : The second volume contains the doctoral dissertation of A. M. Lyapunov 'The General Problem of Stability of Motion' and all the equations connected with it after the document was published. Some corrections from a French translation of this work are included in the text. Two equations of the first order are considered. Second order equations are also included. Contributions of other scientists, Routh and Poincare are cited. The first chapter considers the integration of differential equations in question and is only introductory. In the second and third chapters, constant and periodic coefficients are considered consecutively. The second chapter touches on the questions of periodic solutions of nonlinear differential equations. (Author)

Descriptors :   (*STABILITY, MOTION), (*EQUATIONS, MOTION), DIFFERENTIAL EQUATIONS, NONLINEAR DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION, PERTURBATION THEORY, THESES, MATHEMATICS, NONLINEAR SYSTEMS, LINEAR SYSTEMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE