Generalized Topological Degree and Semilinear Equations (Cambridge Tracts in Mathematics, Series Number 117) 1st Edition by Wolodymyr V. Petryshyn (PDF)

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.

User’s Reviews

Editorial Reviews: Review ‘The book presents new and well-known results in a unified approach.’ European Mathematical Society Newsletter Book Description Presents new results and applications of the theory to nonlinear ODEs and PDEs.

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