| 书目名称 | Positive Operator Semigroups |
| 副标题 | From Finite to Infin |
| 编辑 | András Bátkai,Marjeta Kramar Fijavž,Abdelaziz Rhan |
| 视频video | |
| 概述 | Demonstrates what positivity can do for an operator semigroup and how it affects the solution of an evolution equation.Develops finite dimensional theory in a coordinate-free way.Illustrates a rich se |
| 丛书名称 | Operator Theory: Advances and Applications |
| 图书封面 |  |
| 描述 | This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity is a property which naturally appears in physical, chemical, biological or economic processes. It adds a beautiful and far reaching mathematical structure to the dynamical systems and operators describing these processes. .In the first part, the finite dimensional theory in a coordinate-free way is developed, which is difficult to find in literature. This is a good opportunity to present the main ideas of the Perron-Frobenius theory in a way which can be used in the infinite dimensional situation. Applications to graph matrices, age structured population models and economic models are discussed. .The infinite dimensional theory of positive operator semigroups with their spectral and asymptotic theory is developed in the second part. Recent applications illustrate the theory, like population equations, neutron transport theory, delay equations or flows in networks. Each chapter is accompanied by a large set of exercises. An up-to-date b |
| 出版日期 | Textbook 2017 |
| 关键词 | Perron-Frobenius theory; asymptotic behaviour; evolution equations; operator semigroups; positivity; matr |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-42813-0 |
| isbn_softcover | 978-3-319-82670-7 |
| isbn_ebook | 978-3-319-42813-0Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
| issn_series | 0255-0156 |
| copyright | Springer International Publishing AG 2017 |
发表于 2025-3-21 19:37:08
