- Used Books
- Kobo eReading
- Staff Picks
- Gifts & Gift Cards
- Sell Books
- Stores & Events
Special Offers see all
More at Powell's
Recently Viewed clear list
Currently out of stock.
available for shipping or prepaid pickup only
Other titles in the Cambridge Tracts in Mathematics series:
Cambridge Tracts in Mathematics #117: Generalized Topological Degree and Semilinear Equationsby Wolodymr V. Petryshyn
Synopses & Reviews
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.
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.
Presents new results and applications of the theory to nonlinear ODEs and PDEs.
Includes bibliographical references (p. 225-238) and index.
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.
What Our Readers Are Saying
» Health and Self-Help » Health and Medicine » Medical Specialties