| 书目名称 | Functional Differential Equations | | 副标题 | Application of i-smo | | 编辑 | A. V. Kim | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | Beginning with the works of N.N.Krasovskii [81, 82, 83], which clari fied the functional nature of systems with delays, the functional approach provides a foundation for a complete theory of differential equations with delays. Based on the functional approach, different aspects of time-delay system theory have been developed with almost the same completeness as the corresponding field of ODE (ordinary differential equations) the ory. The term functional differential equations (FDE) is used as a syn onym for systems with delays 1. The systematic presentation of these re sults and further references can be found in a number of excellent books [2, 15, 22, 32, 34, 38, 41, 45, 50, 52, 77, 78, 81, 93, 102, 128]. In this monograph we present basic facts of i-smooth calculus ~ a new differential calculus of nonlinear functionals, based on the notion of the invariant derivative, and some of its applications to the qualitative theory of functional differential equations. Utilization of the new calculus is the main distinction of this book from other books devoted to FDE theory. Two other distinguishing features of the volume are the following: - the central concept that we use is the sep | | 出版日期 | Book 1999 | | 关键词 | Optimal control; calculus; derivative; differential equation; functional analysis; ordinary differential | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-017-1630-7 | | isbn_softcover | 978-90-481-5211-7 | | isbn_ebook | 978-94-017-1630-7 | | copyright | Springer Science+Business Media Dordrecht 1999 |
The information of publication is updating
|
|
发表于 2025-3-21 19:18:52
