Overview
- This book opens a novel and fruitful line of research based on a generalized degree theory
- Expands available techniques employed to prove existence of solutions for discontinuous problems
- Presents many potential applications to other fields
Part of the book series: RSME Springer Series (RSME, volume 6)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (6 chapters)
Keywords
About this book
Reviews
Authors and Affiliations
About the authors
Rubén Figueroa (Salvaterra de Miño, Galicia, 1984) obtained his Ph.D. degree at University of Santiago de Compostela in 2011, with a dissertation about discontinuous differential equations with deviated arguments. In the following years, he focused his research on the study of topological methods for discontinuous operators and its applications to Ordinary Differential Equations. This research gave rise to a score of scientific publications in different journals. At present, he combines his research with teaching at a secondary school.
Rodrigo López Pouso (Ferrol, Galicia, 1973) obtained his Ph.D. degree in 1999 with a thesis on discontinuous differential equations. He currently works as a professor at the University of Santiago de Compostela. His research interests range from discontinuous ordinary differential equations to classical real analysis and he is the author or co-author of more than 60 papers published in high impact mathematical journals.
Jorge Rodríguez-López (A Pontenova, Galicia, 1993) obtained a Ph.D. Degree in Mathematical Analysis at University of Santiago de Compostela in 2020. His line of research focuses on nonlinear analysis, with emphasis in discontinuous differential equations, topological methods and fixed point theory. His results on existence, uniqueness and multiplicity of solutions for ordinary differential equations have been published in several research papers included in the Citation Index Report. Currently, he is Assistant Professor at the University of Santiago de Compostela.
Bibliographic Information
Book Title: Degree Theory for Discontinuous Operators
Book Subtitle: Applications to Discontinuous Differential Equations
Authors: Rubén Figueroa Sestelo, Rodrigo López Pouso, Jorge Rodríguez López
Series Title: RSME Springer Series
DOI: https://doi.org/10.1007/978-3-030-81604-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-81603-2Published: 22 September 2021
Softcover ISBN: 978-3-030-81606-3Published: 23 September 2022
eBook ISBN: 978-3-030-81604-9Published: 21 September 2021
Series ISSN: 2509-8888
Series E-ISSN: 2509-8896
Edition Number: 1
Number of Pages: VIII, 190
Number of Illustrations: 9 illustrations in colour
Topics: Analysis