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＜電子ブック＞
Nonlinear Mechanics, Groups and Symmetry / by Yuri A. Mitropolsky, A.K. Lopatin
(Mathematics and Its Applications ; 319)

版	1st ed. 1995.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1995
本文言語	英語
大きさ	X, 382 p : online resource
著者標目	*Mitropolsky, Yuri A author Lopatin, A.K author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Topological groups LCSH:Lie groups LCSH:Mathematics LCSH:Multibody systems LCSH:Vibration LCSH:Mechanics, Applied FREE:Differential Equations FREE:Topological Groups and Lie Groups FREE:Applications of Mathematics FREE:Multibody Systems and Mechanical Vibrations
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-94-015-8535-4

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