| 书目名称 | Positive Solutions to Indefinite Problems |
| 副标题 | A Topological Approa |
| 编辑 | Guglielmo Feltrin |
| 视频video | |
| 概述 | Deals with new, challenging problems in nonlinear analysis and solves several open problems and questions.Gives a good overview of existing methods and presents new ideas and results as well.Proposes |
| 丛书名称 | Frontiers in Mathematics |
| 图书封面 |  |
| 描述 | 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.. |
| 出版日期 | Book 2018 |
| 关键词 | indefinite equations; superlinear problems; super-sublinear problems; existence results; multiplicity re |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-94238-4 |
| isbn_softcover | 978-3-319-94237-7 |
| isbn_ebook | 978-3-319-94238-4Series ISSN 1660-8046 Series E-ISSN 1660-8054 |
| issn_series | 1660-8046 |
| copyright | Springer Nature Switzerland AG 2018 |
发表于 2025-3-21 17:07:59
