Author | Belitskii, Genrich. author |
---|---|

Title | One-dimensional Functional Equations [electronic resource] / by Genrich Belitskii, Vadim Tkachenko |

Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2003 |

Connect to | http://dx.doi.org/10.1007/978-3-0348-8079-4 |

Descript | XIV, 207 p. online resource |

CONTENT

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

Mathematics
Dynamics
Ergodic theory
Functional analysis
Global analysis (Mathematics)
Manifolds (Mathematics)
Operator theory
Mathematics
Dynamical Systems and Ergodic Theory
Functional Analysis
Global Analysis and Analysis on Manifolds
Operator Theory