ENGLISH

Generalized topological degree and semilinear equations

By Wolodymyr V. Petryshyn

Book information

Publisher
Cambridge University Press
Year
1995
ISBN
0521444748, 9780521444743, 9780511574832
LCC
QA612 .P47 1995
Open Library ID
OL1274261M
Language
english
Format
PDF
Filesize
2 MB (2078511 bytes)
Series
Cambridge tracts in mathematics 117
Pages
251\251
Scanned
yes
Time added
2010-06-26 00:49:36

Description

This book describes many new results and extensions of the theory of generalized topological degree for densely defined A-proper operators and presents important applications, particularly to boundary value problems of nonlinear ordinary and partial differential equations that 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. The 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 nonlinear analysis will find this an important resource for new techniques.

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