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Titlebook: Difference Equations and Their Applications; A. N. Sharkovsky,Yu. L. Maistrenko,E. Yu. Romanenk Book 1993 Springer Science+Business Media

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書目名稱Difference Equations and Their Applications
編輯A. N. Sharkovsky,Yu. L. Maistrenko,E. Yu. Romanenk
視頻videohttp://file.papertrans.cn/279/278604/278604.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: Difference Equations and Their Applications;  A. N. Sharkovsky,Yu. L. Maistrenko,E. Yu. Romanenk Book 1993 Springer Science+Business Media
描述The theory of difference equations is now enjoying a period of Renaissance. Witness the large number of papers in which problems, having at first sight no common features, are reduced to the investigation of subsequent iterations of the maps f· IR. m ~ IR. m, m > 0, or (which is, in fact, the same) to difference equations The world of difference equations, which has been almost hidden up to now, begins to open in all its richness. Those experts, who usually use differential equations and, in fact, believe in their universality, are now discovering a completely new approach which re- sembles the theory of ordinary differential equations only slightly. Difference equations, which reflect one of the essential properties of the real world-its discreteness-rightful- ly occupy a worthy place in mathematics and its applications. The aim of the present book is to acquaint the reader with some recently discovered and (at first sight) unusual properties of solutions for nonlinear difference equations. These properties enable us to use difference equations in order to model complicated os- cillating processes (this can often be done in those cases when it is difficult to apply ordinary differ
出版日期Book 1993
關(guān)鍵詞chaos; dynamical systems; dynamische Systeme; linearity; modeling; partial differential equation; simulati
版次1
doihttps://doi.org/10.1007/978-94-011-1763-0
isbn_softcover978-94-010-4774-6
isbn_ebook978-94-011-1763-0
copyrightSpringer Science+Business Media Dordrecht 1993
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Dynamical Systems for U-Maps(in a certain sense) the simplest ones. A map . ∈ .(.) is called unimodal if the interval . can be decomposed into the intervals . and . so that the map . is a homeomorphism both on . and ., and moreover, it monotonically increases on one of these intervals and monotonically decreases on the other o
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Nonlinear Difference Equationsction, .(.): ?. → . is an unknown function, and . ∈ ?. is some closed bounded interval. We are interested in the investigation of the behavior of solutions to eqn. (1.1) as . →+ ∞ depending on the function . and the initial data
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Difference Equations with U-Nonlinearitytinuous argument.in the case when . is an arbitrary continuous map of the closed interval . onto itself and . ∈ .(?., .). Below we examine the properties of the solutions to eqn. (2.1) in more detail assuming that . is a .-map. Difference equations with nonlinearity of such a kind exhibit typical pe
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A. N. Sharkovsky,Yu. L. Maistrenko,E. Yu. Romanenk
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