Topological Degree with Applications

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.

List of contents

The theory.- Applications to the topology of RN.- Applications to fixed point theory.- Applications to ODEs.

Product details

• Authors: Giovanni Vidossich
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Release: 25.09.2025
• EAN: 9783031929977
• ISBN: 978-3-0-3192997-7
• No. of pages: 545
• Illustrations: IX, 545 p. 1 illus. in color.
• Series: SISSA Springer Series
• Subjects: Natural sciences, medicine, IT, technology > Mathematics; Analysis, Mathematische Analysis, allgemein, Topologie, Mathematics, Topology, variational methods, degree of iterated maps, evolution equations, Brouwer degree, Leray-Schauder degree,, Dirichlet problem, periodic solutions, Hofer Theorem