| 书目名称 | THEORY OF CAUSAL DIFFERENTIAL EQUATIONS | | 编辑 | V. Lakshmikantham,S. Leela,F. A. McRae | | 视频video | | | 丛书名称 | Atlantis Studies in Mathematics for Engineering and Science | | 图书封面 |  | | 描述 | The problems of modern society are both complex and inter-disciplinary. Despite the - parent diversity of problems, however, often tools developed in one context are adaptable to an entirely different situation. For example, consider the well known Lyapunov’s second method. This interesting and fruitful technique has gained increasing signi?cance and has given decisive impetus for modern development of stability theory of discrete and dynamic system. It is now recognized that the concept of Lyapunov function and theory of diff- ential inequalities can be utilized to investigate qualitative and quantitative properties of a variety of nonlinear problems. Lyapunov function serves as a vehicle to transform a given complicated system into a simpler comparison system. Therefore, it is enough to study the properties of the simpler system to analyze the properties of the complicated system via an appropriate Lyapunov function and the comparison principle. It is in this perspective, the present monograph is dedicated to the investigation of the theory of causal differential equations or differential equations with causal operators, which are nonanticipative or abstract Volterra operators. A | | 出版日期 | Book 2010 | | 关键词 | Area; CDE; causal differential equations; derivative; differential equation; equation; function; functional | | 版次 | 1 | | doi | https://doi.org/10.2991/978-94-91216-25-1 | | isbn_ebook | 978-94-91216-25-1Series ISSN 1875-7642 Series E-ISSN 2467-9631 | | issn_series | 1875-7642 | | copyright | Atlantis Press and the authors 2010 |
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发表于 2025-3-21 16:28:05
