Topological Degree with Applications
Series: SISSA Springer Series; 6;
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Product details:
- Publisher Springer Nature Switzerland
- Date of Publication 18 December 2025
- Number of Volumes 1 pieces, Book
- ISBN 9783031929977
- Binding Hardback
- No. of pages545 pages
- Size 279x210 mm
- Language English
- Illustrations IX, 545 p. 1 illus. in color. Illustrations, color 700
Categories
Long description:
This book is unique in the current scenario because it provides a complete treatment of modern Brouwer and of Leray-Schauder degree theories, including detailed proofs and selected applications to differential equations. In addition, new results and open problems appear throughout. It aims to introduce Ph.D. students to research on nonlinear boundary value problems for ordinary, elliptic, and evolution equations using the topological methods of nonlinear functional analysis. It is suitable for self-study, as all proofs are detailed, with prerequisites provided when necessary. It is based on personal notes compiled over more than forty years of teaching.
MoreTable of Contents:
The theory.- Applications to the topology of RN.- Applications to fixed point theory.- Applications to ODEs.
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