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  3. Generalized Topological Degree and Semilinear Equations
  • Cited by 9
Publisher:
Cambridge University Press
Online publication date:
May 2010
Print publication year:
1995
Online ISBN:
9780511574832
DOI:
https://doi.org/10.1017/CBO9780511574832
Subjects:
Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Abstract Analysis
Series:
Cambridge Tracts in Mathematics (117)
Information

Book description

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.

Reviews

‘The book presents new and well-known results in a unified approach.’

Source: European Mathematical Society Newsletter

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