Name: Positive Solutions to Indefinite Problems: A Topological Approach (Frontiers in Mathematics) (en Inglés)
SKU: 51037214
Price: 173390.00 COP
Availability: InStock
Author: Guglielmo Feltrin
ISBN: 9783319942377

portada Positive Solutions to Indefinite Problems: A Topological Approach (Frontiers in Mathematics) (en Inglés)

Positive Solutions to Indefinite Problems: A Topological Approach (Frontiers in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Birkhäuser

Autor

Guglielmo Feltrin

Año

2018

Idioma

Inglés

N° páginas

336

Encuadernación

Tapa Blanda

ISBN13

9783319942377

N° edición

2018

Categorías

Cálculo diferencial y ecuaciones

Positive Solutions to Indefinite Problems: A Topological Approach (Frontiers in Mathematics) (en Inglés)

Guglielmo Feltrin (Autor) · Birkhäuser · Tapa Blanda

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Reseña del libro "Positive Solutions to Indefinite Problems: A Topological Approach (Frontiers in Mathematics) (en Inglés)"

This book is devoted to the study of positive solutions to indefinite problems. The monograph intelligibly provides an extensive overview of topological methods and introduces new ideas and results. Sticking to the one-dimensional setting, the author shows that compelling and substantial research can be obtained and presented in a penetrable way. In particular, the book focuses on second order nonlinear differential equations. It analyzes the Dirichlet, Neumann and periodic boundary value problems associated with the equation and provides existence, nonexistence and multiplicity results for positive solutions. The author proposes a new approach based on topological degree theory that allows him to answer some open questions and solve a conjecture about the dependence of the number of positive solutions on the nodal behaviour of the nonlinear term of the equation. The new technique developed in the book gives, as a byproduct, infinitely many subharmonic solutions and globally defined positive solutions with chaotic behaviour. Furthermore, some future directions for research, open questions and interesting, unexplored topics of investigation are proposed.