Topological Degree with Applications

Erscheinungsjahr 2025
ISBN: 978-3-031-92997-7
Verlag: Springer

Buch, Englisch, 545 Seiten, Format (B × H): 210 mm x 279 mm

Reihe: SISSA Springer Series

GV studied Mathematics in Pisa  during the 1960s with G.Stampacchia as supervisor. He has been  professor at the Universities of Brasilia and Trieste, ending his career at SISSA (the research institute he co-founded together with P.Budinich, L.Fonda and L.Stasi). He has held visiting positions in Brazil, Peru, Somalia, South Africa and USA. After an initial activity in General Topology, his main research topic has become BVPs of ODEs in connection with the topological methods of Nonlinear Functional Analysis.

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.

Zielgruppe

Research

Autoren/Hrsg.

Vidossich, Giovanni

Fachgebiete

• Mathematik | Informatik Mathematik Topologie
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Mathematik | Informatik Mathematik Mathematische Analysis

Inhaltsverzeichnis

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

Über Autor(innen)

GV studied Mathematics in Pisa  during the 1960s with G.Stampacchia as supervisor. He has been  professor at the Universities of Brasilia and Trieste, ending his career at SISSA (the research institute he co-founded together with P.Budinich, L.Fonda and L.Stasi). He has held visiting positions in Brazil, Peru, Somalia, South Africa and USA. After an initial activity in General Topology, his main research topic has become BVPs of ODEs in connection with the topological methods of Nonlinear Functional Analysis.