Stability and Bifurcation Theory for Non-Autonomous Differential Equations: Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera

✍ Scribed by Anna Capietto, Peter Kloeden, Jean Mawhin, Sylvia Novo, Rafael Ortega (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2013
• Tongue: English
• Leaves: 313
• Series: Lecture Notes in Mathematics 2065
• Edition: 1
• Category: Library

✦ Synopsis

This volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation Problems for Non-Autonomous Differential Equations," held in Cetraro, Italy, June 19-25 2011. Anna Capietto and Jean Mawhin lectured on nonlinear boundary value problems; they applied the Maslov index and degree-theoretic methods in this context. Rafael Ortega discussed the theory of twist maps with nonperiodic phase and presented applications. Peter Kloeden and Sylvia Novo showed how dynamical methods can be used to study the stability/bifurcation properties of bounded solutions and of attracting sets for nonautonomous differential and functional-differential equations. The volume will be of interest to all researchers working in these and related fields.

✦ Table of Contents

Front Matter....Pages i-ix
The Maslov Index and Global Bifurcation for Nonlinear Boundary Value Problems....Pages 1-34
Discrete-Time Nonautonomous Dynamical Systems....Pages 35-102
Resonance Problems for Some Non-autonomous Ordinary Differential Equations....Pages 103-184
Non-autonomous Functional Differential Equations and Applications....Pages 185-263
Twist Mappings with Non-Periodic Angles....Pages 265-300
Back Matter....Pages 301-303

✦ Subjects

Ordinary Differential Equations; Difference and Functional Equations; Dynamical Systems and Ergodic Theory