Generalized Topological Degree and Semilinear Equations
(Book #117 in the Cambridge Tracts in Mathematics Series)
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This book describes many new results and extensions of the theory of generalised topological degree for densely defined A-proper operators and presents important applications, particularly to boundary value problems of non-linear ordinary and partial differential equations, which are intractable under any other existing theory. A-proper mappings arise naturally in the solution to an equation in infinite dimensional space via the finite dimensional approximation. This theory subsumes classical theory involving compact vector fields, as well as the more recent theories of condensing vector-fields, strongly monotone and strongly accretive maps. Researchers and graduate students in mathematics, applied mathematics and physics who make use of non-linear analysis will find this an important resource for new techniques.
Format:Hardcover
Language:English
ISBN:0521444748
ISBN13:9780521444743
Release Date:September 1995
Publisher:Cambridge University Press
Length:252 Pages
Weight:1.06 lbs.
Dimensions:0.8" x 6.3" x 9.3"
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