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Topological Degree Methods in Nonlinear Boundary Value Problems

A co-publication of the AMS and CBMS
Available Formats:
Softcover ISBN: 978-0-8218-1690-5
Product Code: CBMS/40
List Price: $26.00 Individual Price:$20.80
Electronic ISBN: 978-1-4704-2400-8
Product Code: CBMS/40.E
List Price: $24.00 Individual Price:$19.20
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List Price: $39.00 Click above image for expanded view Topological Degree Methods in Nonlinear Boundary Value Problems A co-publication of the AMS and CBMS Available Formats:  Softcover ISBN: 978-0-8218-1690-5 Product Code: CBMS/40  List Price:$26.00 Individual Price: $20.80  Electronic ISBN: 978-1-4704-2400-8 Product Code: CBMS/40.E  List Price:$24.00 Individual Price: $19.20 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$39.00
• Book Details

CBMS Regional Conference Series in Mathematics
Volume: 401979; 122 pp
MSC: Primary 47; Secondary 34; 55; 58;

This volume contains expository lectures from the CBMS Regional Conference held at Harvey Mudd College, June 1977. The conference was supported by the National Science Foundation.

The main theme of this monograph consists of applications to nonlinear differential equations of the author's coincidental degree. It includes an extensive bibliography covering many aspects of the modern theory of nonlinear differential equations and the theory of nonlinear analysis.

• Chapters
• 1. Introduction
• 2. Suggestions for the reader
• Chapter I. Fredholm mappings of index zero and linear boundary value problems
• Chapter II. Degree theory for some classes of mappings
• Chapter III. Duality theorems for several fixed point operators associated to periodic problems for ordinary differential equations
• Chapter IV. Existence theorems for equations in normed spaces
• Chapter V. Boundary value problems for second order nonlinear vector differential equations
• Chapter VI. Periodic solutions of ordinary differential equations with one-sided growth restrictions
• Chapter VII. Bound sets for functional differential equations
• Chapter VIII. The index of isolated zeros of some mappings
• Chapter IX. Bifurcation theory
• Chapter X. Periodic solutions of autonomous ordinary differential equations around an equilibrium
• Reviews

• A beautiful and clearly written monograph which provides an easy access to several very active research areas of nonlinear differential equations and nonlinear analysis.

K. Schmitt, Mathematical Reviews
• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 401979; 122 pp
MSC: Primary 47; Secondary 34; 55; 58;

This volume contains expository lectures from the CBMS Regional Conference held at Harvey Mudd College, June 1977. The conference was supported by the National Science Foundation.

The main theme of this monograph consists of applications to nonlinear differential equations of the author's coincidental degree. It includes an extensive bibliography covering many aspects of the modern theory of nonlinear differential equations and the theory of nonlinear analysis.

• Chapters
• 1. Introduction
• 2. Suggestions for the reader
• Chapter I. Fredholm mappings of index zero and linear boundary value problems
• Chapter II. Degree theory for some classes of mappings
• Chapter III. Duality theorems for several fixed point operators associated to periodic problems for ordinary differential equations
• Chapter IV. Existence theorems for equations in normed spaces
• Chapter V. Boundary value problems for second order nonlinear vector differential equations
• Chapter VI. Periodic solutions of ordinary differential equations with one-sided growth restrictions
• Chapter VII. Bound sets for functional differential equations
• Chapter VIII. The index of isolated zeros of some mappings
• Chapter IX. Bifurcation theory
• Chapter X. Periodic solutions of autonomous ordinary differential equations around an equilibrium
• A beautiful and clearly written monograph which provides an easy access to several very active research areas of nonlinear differential equations and nonlinear analysis.

K. Schmitt, Mathematical Reviews
Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.