This selection of papers from the Beijing conference gives a cross-section of the current trends in the field of fixed point theory as seen by topologists and analysts. Apart from one survey article, they are all original research articles, on topics including equivariant theory, extensions of Nielsen theory, periodic orbits of discrete and continuous dynamical systems, and new invariants and techniques in topological approaches to analytic problems.
Reihe
Auflage
The Lefschetz Function of a Point- P Heath R Piccinini CY You: Nielsen-type Numbers
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 12 mm
Gewicht
ISBN-13
978-3-540-51932-4 (9783540519324)
DOI
Schweitzer Klassifikation
Bifurcation theory for metric parameter spaces.- A fixed point index approach to some differential equations.- Topological characteristics of infinite - dimensional mappings and the theory of fixed points and coincidences.- Fixed points of map extensions.- Two vignettes in fixed point theory.- Index theory for noncompact group actions with applications to Borsuk-Ulam theorems.- Fuller's index for periodic solutions of functional differential equations.- Simple variational methods for unbounded potentials.- The lefschetz function of a point.- Nielsen-type numbers for periodic points, I.- Braids and periodic solutions.- Coincidences for Grassmannian and associated spaces.- Congruences for fixed point indices of equivariant maps and iterated maps.- Clifford asymptotics and the local lefschetz index.- On solutions of frame mappings into manifolds.- The number of periodic orbits of smooth maps.- Parametrized Borsuk-Ulam theorems and characteristic polynomials.- On an example of Weier.- The positive solutions of quasilinear elliptic boundary value problem.- A relative Nielsen number for the complement.