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Topological Fixed Point Theory and Applications

Proceedings of a Conference held at the Nankai Institute of Mathematics, Tianjin, PR China, April 5-8, 1988

Boju Jiang (Herausgeber)

Buch | Softcover

VIII, 208 Seiten

1989
Springer Berlin (Verlag)
978-3-540-51932-4 (ISBN)

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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.

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.

Erscheint lt. Verlag	28.11.1989
Reihe/Serie	Lecture Notes in Mathematics
Reihe/Serie	Nankai Institute of Mathematics, Tianjin, P.R. China
Zusatzinfo	VIII, 208 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	313 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	algebraic topology • differential equation • Fixed Point Theory • Index Theory • periodic orbits
ISBN-10	3-540-51932-7 / 3540519327
ISBN-13	978-3-540-51932-4 / 9783540519324
Zustand	Neuware