Topological Degree With Applications - Couverture rigide

Vidossich, Giovanni

 
9783031929977: Topological Degree With Applications

Synopsis

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.

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

GV studied mathematics in Pisa during the 1960s with G. Stampacchis 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 for ODEs in connection with the topological methods of nonlinear functional analysis.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.