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Titlebook: Dynamic Equations on Time Scales; An Introduction with Martin Bohner,Allan Peterson Textbook 2001 Springer Science+Business Media New York

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發(fā)表于 2025-3-21 18:33:57 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Dynamic Equations on Time Scales
副標(biāo)題An Introduction with
編輯Martin Bohner,Allan Peterson
視頻videohttp://file.papertrans.cn/284/283582/283582.mp4
圖書封面Titlebook: Dynamic Equations on Time Scales; An Introduction with Martin Bohner,Allan Peterson Textbook 2001 Springer Science+Business Media New York
描述On becoming familiar with difference equations and their close re- lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both. [E. T. BELL, Men of Mathematics, Simon and Schuster, New York (page 13/14), 1937] The theory of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his PhD thesis [159] in 1988 (supervised by Bernd Aulbach) in order to unify continuous and discrete analysis. This book is an intro- duction to the study of dynamic equations on time scales. Many results concerning differential equations carryover quite easily to corresponding results for difference equations, while other results seem to be completely different in nature from their continuous counterparts. The study of dynamic equations on time scales reveals such discrepancies, and helps avoid pro
出版日期Textbook 2001
關(guān)鍵詞Boundary value problem; Green‘s function; Transformation; calculus; difference equations; ksa; linear alge
版次1
doihttps://doi.org/10.1007/978-1-4612-0201-1
isbn_softcover978-1-4612-6659-4
isbn_ebook978-1-4612-0201-1
copyrightSpringer Science+Business Media New York 2001
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沙發(fā)
發(fā)表于 2025-3-21 21:50:42 | 只看該作者
ny results concerning differential equations carryover quite easily to corresponding results for difference equations, while other results seem to be completely different in nature from their continuous counterparts. The study of dynamic equations on time scales reveals such discrepancies, and helps avoid pro978-1-4612-6659-4978-1-4612-0201-1
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Operationalisierung der zentralen Variablen in Do?lY and Hilscher [.], and are extensions of results by Bohner and Do?lY [.]. Throughout this chapter we denote by.the 2. × 2.-matrix.We start by recalling the concepts of symplectic and Hamiltonian matrices.
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Second Order Linear Equations,Theorem 3.1) is why we call equation (3.1) a linear equation. If f(.) = 0 for all ., then we get the homogeneous dynamic equation L. = 0. Otherwise we say the equation . = f is nonhomogeneous. The following . is easy to prove and is left as an exercise.
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Textbook 2001tions could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensi
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