{"product_id":"9781441947604","title":"Mathematics and Its Applications","description":"\u003ch1\u003eMathematics and Its Applications\u003c\/h1\u003e \u003ch2\u003eLakshmikantham, V.; Sivasundaram, S.; Kaymakcalan, B.\u003c\/h2\u003e \u003cp\u003eFrom a modelling point of view, it is more realistic to model a  phenomenon by a dynamic system which incorporates both continuous and  discrete times, namely, time as an arbitrary closed set of reals  called time-scale or measure chain. It is therefore natural to ask  whether it is possible to provide a framework which permits us to  handle both dynamic systems simultaneously so that one can get some  insight and a better understanding of the subtle differences of these  two different systems. The answer is affirmative, and recently  developed theory of dynamic systems on time scales offers the desired  unified approach. \u003cbr\u003e  In this monograph, we present the current state of development of the  theory of dynamic systems on time scales from a qualitative point of  view. It consists of four chapters. Chapter one develops  systematically the necessary calculus of functions on time scales. In  chapter two, we introduce dynamic systems on time scales and prove the  basic properties of solutions of such dynamic systems. The theory of  Lyapunov stability is discussed in chapter three in an appropriate  setup. Chapter four is devoted to describing several different areas  of investigations of dynamic systems on time scales which will provide  an exciting prospect and impetus for further advances in this  important area which is very new. \u003cbr\u003e  Some important features of the monograph are as follows:    \u003c\/p\u003e\u003cli\u003eIt is the first book that is dedicated to a systematic  development of the theory of dynamic systems on time scales which is  of recent origin. \u003c\/li\u003e  \u003cli\u003eIt demonstrates the interplay of the two  different theories, namely, the theory of continuous and discrete  dynamic systems, when imbedded in one unified framework. \u003c\/li\u003e  \u003cli\u003eIt  provides an impetus to investigate in the setup of time scales other  important problems which might offer a better understanding of the  intricacies of a unified study.£\/LIST£ \u003cbr\u003e  \u003cem\u003eAudience:\u003c\/em\u003e Thereadership of this book consists of applied  mathematicians, engineering scientists, research workers in dynamic  systems, chaotic theory and neural nets. \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2010-12-08\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781441947604\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4757-2449-3\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 294\u003c\/p\u003e \u003c\/li\u003e","brand":"Springer US","offers":[{"title":"Default Title","offer_id":46539705647244,"sku":"9781441947604","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781441947604.jpg?v=1775679306","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781441947604","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}