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Q&A | May 20, 2013

Michael Marder: IMG Powell’s Q&A: Michael Marder

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Describe your latest work. When I started working on Plant-Thinking in 2008, I had no idea that the project would turn out to be as broad as it did.... Continue »
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    Plant-Thinking: A Philosophy of Vegetal Life

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Cambridge Tracts in Mathematics #117: Generalized Topological Degree and Semilinear Equations

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Cambridge Tracts in Mathematics #117: Generalized Topological Degree and Semilinear Equations Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This book describes extensions of the theory of generalised topological degree for densely defined A-proper operators and presents applications to boundary value problems of non-linear ordinary and partial differential equations intractable under any other existing theory. Researchers in nonlinear analysis will find this an important resource.

Synopsis:

Presents new results and applications of the theory to nonlinear ODEs and PDEs.

Description:

Includes bibliographical references (p. 225-238) and index.
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Table of Contents

1. Introduction to the Brouwer and Leray-Schauder degrees, A-proper mappings, and linear theory; 2. Generalized degree for densely defined A-proper mappings with some applications to semi-linear equations; 3. Solvability of periodic semi-linear ODEs at resonance; 4. Semi-constructive solvability, existence theorems, structure of the solution set; 5. Solvability of semi-linear PDEs at resonance.

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Product Details

ISBN:
9780521444743
Author:
Petryshyn, Wolodymr V.
Publisher:
Cambridge University Press
Author:
Bollobas, B.
Author:
Petryshyn, Wolodymyr V.
Author:
Fulton, W.
Author:
Sarnak, P.
Author:
Kirwan, F.
Author:
Katok, A.
Location:
Cambridge ;
Subject:
Probability
Subject:
Boundary value problems
Subject:
Topology
Subject:
Topological degree.
Subject:
Probability & Statistics - General
Subject:
Topology - General
Subject:
General Mathematics
Subject:
Semilinear equations
Subject:
MATHEMATICS / Topology
Edition Description:
Hardcover
Series:
Cambridge Tracts in Mathematics (Hardcover)
Series Volume:
117
Publication Date:
19950931
Binding:
Hardcover
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
252
Dimensions:
9.31x6.35x.81 in. 1.06 lbs.
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Related Subjects

» Health and Self-Help » Health and Medicine » Medical Specialties
» Science and Mathematics » Mathematics » Probability and Statistics » General
» Science and Mathematics » Mathematics » Probability and Statistics » Statistics
» Science and Mathematics » Mathematics » Topology

Cambridge Tracts in Mathematics #117: Generalized Topological Degree and Semilinear Equations New Hardcover
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Product details 252 pages Cambridge University Press - English 9780521444743 Reviews:
"Synopsis" by , This book describes extensions of the theory of generalised topological degree for densely defined A-proper operators and presents applications to boundary value problems of non-linear ordinary and partial differential equations intractable under any other existing theory. Researchers in nonlinear analysis will find this an important resource.
"Synopsis" by , Presents new results and applications of the theory to nonlinear ODEs and PDEs.
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