Cover Image
Read Now

One-dimensional Functional Equations

Bibliographic Details
Main Authors: Belitskii, Genrich, Tkachenko, Vadim (Author)
Format: eBook
Language:English
Published: Basel Birkhäuser 2003, 2003
Edition:1st ed. 2003
Series:Operator Theory: Advances and Applications
Subjects:
Functional Analysis
Dynamical Systems
Operator Theory
Manifolds (mathematics)
Global Analysis (mathematics)
Global Analysis And Analysis On Manifolds
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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

Similar Items