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＜E-Book＞
One-dimensional Functional Equations / by Genrich Belitskii, Vadim Tkachenko
(Operator Theory: Advances and Applications. ISSN:22964878 ; 144)

Edition	1st ed. 2003.
Publisher	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
Year	2003
Language	English
Size	XIV, 207 p : online resource
Authors	*Belitskii, Genrich author Tkachenko, Vadim author SpringerLink (Online service)
Subjects	LCSH:Dynamical systems LCSH:Functional analysis LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Operator theory FREE:Dynamical Systems FREE:Functional Analysis FREE:Global Analysis and Analysis on Manifolds FREE:Operator Theory
Notes	1 Implicit Functions -- 1.1 Formal solvability -- 1.2 Theorem on local solvability -- 1.3 Transformations of equations -- 1.4 Global solvability -- 1.5 Comments and references -- 2 Classification of One-dimensional Mappings -- 2.1 Wandering and non-wandering subsets -- 2.2 Mappings with wandering compact sets -- 2.3 Local structure of mappings at an isolated fixed point -- 2.4 Diffeomorphisms with isolated fixed points -- 2.5 One-dimensional flows and vector fields -- 2.6 Embedding problem and iterative roots -- 2.7 Comments and references -- 3 Generalized Abel Equation -- 3.1 Local solvability -- 3.2 Global solutions of equations with not more than one fixed point -- 3.3 Gluing method for linear equations with several fixed points -- 3.4 Comments and references -- 4 Equations with Several Transformations of Argument -- 4.1 Local solvability -- 4.2 Extension of solutions -- 4.3 Examples -- 4.4 Difference equations in Carleman classes -- 4.5 Comments and references -- 5 Linear Equations -- 5.1 Generalized linear Abel equation -- 5.2 Localization of obstacles to solvability -- 5.3 Equations with constant coefficients -- 5.4 Equation with affine transformations of argument -- 5.5 Comments and references HTTP:URL=https://doi.org/10.1007/978-3-0348-8079-4

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