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Titlebook: Dynamic Systems on Measure Chains; V. Lakshmikantham,S. Sivasundaram,B. Kaymakcalan Book 1996 Springer Science+Business Media Dordrecht 19

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書目名稱Dynamic Systems on Measure Chains
編輯V. Lakshmikantham,S. Sivasundaram,B. Kaymakcalan
視頻videohttp://file.papertrans.cn/284/283789/283789.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: Dynamic Systems on Measure Chains;  V. Lakshmikantham,S. Sivasundaram,B. Kaymakcalan Book 1996 Springer Science+Business Media Dordrecht 19
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
關(guān)鍵詞Area; Boundary value problem; Calc; Monotone; Variance; calculus; derivative; differential equation; framewo
版次1
doihttps://doi.org/10.1007/978-1-4757-2449-3
isbn_softcover978-1-4419-4760-4
isbn_ebook978-1-4757-2449-3
copyrightSpringer Science+Business Media Dordrecht 1996
The information of publication is updating

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Book 1996mely, 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 differe
板凳
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Chapter 1,nnectedness. None the less, it is natural to seek a framework which permits us to handle both dynamic systems simultaneously in order to get better insight and understanding of the subtle differences of the two systems. Recently developed theory of dynamic systems on time scales (closed sets of reals) provides the desired unified approach.
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Chapter 1,ere is a striking duality between the theories of differential equations and difference equations, the theory of difference equations is a lot richer than the corresponding theory of differential equations, and often demands additional assumptions to overcome the topological deficiency of lacking co
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Chapter 4, 4.1, we shall develop the methods of upper and lower solutions and monotone iterative technique for initial and periodic boundary value problems. Section 4.2 is devoted to the method of generalized quasilinearization which offers not only monotone sequences that converge to the unique solution but
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