| 书目名称 | Dynamic Systems on Measure Chains | | 编辑 | V. Lakshmikantham,S. Sivasundaram,B. Kaymakcalan | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | From a modelling point of view, it is more realistic to model aphenomenon by a dynamic system which incorporates both continuous anddiscrete times, namely, time as an arbitrary closed set of realscalled time-scale or measure chain. It is therefore natural to askwhether it is possible to provide a framework which permits us tohandle both dynamic systems simultaneously so that one can get someinsight and a better understanding of the subtle differences of thesetwo different systems. The answer is affirmative, and recentlydeveloped theory of dynamic systems on time scales offers the desiredunified approach. .In this monograph, we present the current state of development of thetheory of dynamic systems on time scales from a qualitative point ofview. It consists of four chapters. Chapter one developssystematically the necessary calculus of functions on time scales. Inchapter two, we introduce dynamic systems on time scales and prove thebasic properties of solutions of such dynamic systems. The theory ofLyapunov stability is discussed in chapter three in an appropriatesetup. Chapter four is devoted to describing several different areasof investigations of dynamic systems on time scales w | | 出版日期 | Book 1996 | | 关键词 | Area; Boundary value problem; Calc; Monotone; Variance; calculus; derivative; differential equation; framewo | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-2449-3 | | isbn_softcover | 978-1-4419-4760-4 | | isbn_ebook | 978-1-4757-2449-3 | | copyright | Springer Science+Business Media Dordrecht 1996 |
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发表于 2025-3-21 16:32:26
