Displaying similar documents to “On the Conley index in Hilbert spaces in the absence of uniqueness”

The Conley index theory: A brief introduction

Konstantin Mischaikow (1999)

Banach Center Publications

Similarity:

A brief introduction to the Conley index theory is presented. The emphasis is the fundamental ideas of Conley's approach to dynamical systems and how it avoids some of the difficulties inherent in the study of nonlinear systems.

On the Conley index in Hilbert spaces - a multivalued case

Zdzisław Dzedzej (2007)

Banach Center Publications

Similarity:

We introduce the cohomological Conley type index theory for multivalued flows generated by vector fields which are compact and convex-valued perturbations of some linear operators.

On foundations of the Conley index theory

Roman Srzednicki (1999)

Banach Center Publications

Similarity:

The Conley index theory was introduced by Charles C. Conley (1933-1984) in [C1] and a major part of the foundations of the theory was developed in Ph. D. theses of his students, see for example [Ch, Ku, Mon]. The Conley index associates the homotopy type of some pointed space to an isolated invariant set of a flow, just as the fixed point index associates an integer number to an isolated set of fixed points of a continuous map. Examples of isolated invariant sets arise naturally in the...