Nonlinear Mechanics, Groups and Symmetry by Yuri A. Mitropolsky, A.K. Lopatin.

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Bibliographic Details
Main Authors: Mitropolsky, Yuri A. (Author), Lopatin, A.K (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1995.
Edition:1st ed. 1995.
Series:Mathematics and Its Applications ; 319
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.

MARC

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505 0 |a 1 Vector Fields, Algebras and Groups Generated by a System of Ordinary Differential Equations and their Properties -- 2 Decomposition of Systems of Ordinary Differential Equations -- 3 Asymptotic decomposition of systems of ordinary differential equations with a small parameter -- 4 Asymptotic Decomposition of Almost Linear Systems of Differential Equations with Constant Coefficients and Perturbations in the Form of Polynomials -- 5 Asymptotic Decomposition of Differential Systems with Small Parameter in the Representation Space of Finite-dimensional Lie Group -- 6 Asymptotic Decomposition of Differential Systems where Zero Approximation has Special Properties -- 7 Asymptotic Decomposition of Pfaffian Systems with a Small Parameter -- A: Lie series and Lie transformation -- B: The direct product of matrices -- B1: Definition -- B2: Systems of matrix equations -- C: Conditions for the solvability of systems of linear equations -- D: Elements of Lie group analysis of differential equations on the basis of the theory of extended operators -- D1: One-parameter group and its infinitesimal operator -- D2. Theory of extension -- Bibliographical Comments -- References. 
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