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Titlebook: Differential and Difference Equations; A Comparison of Meth Leonard C. Maximon Book 2016 Springer International Publishing Switzerland 2016

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樓主
發(fā)表于 2025-3-21 19:17:56 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Differential and Difference Equations
副標題A Comparison of Meth
編輯Leonard C. Maximon
視頻videohttp://file.papertrans.cn/279/278812/278812.mp4
概述Provides a unique and detailed comparison of methods of solution of differential and difference equations in application to problems in physical sciences and engineering.Places emphasis on application
圖書封面Titlebook: Differential and Difference Equations; A Comparison of Meth Leonard C. Maximon Book 2016 Springer International Publishing Switzerland 2016
描述.This book, intended for researchers andgraduate students in physics, applied mathematics and engineering, presents adetailed comparison of the important methods of solution for lineardifferential and difference equations - variation of constants, reduction oforder, Laplace transforms and generating functions - bringing out thesimilarities as well as the significant differences in the respective analyses.Equations of arbitrary order are studied, followed by a detailed analysis forequations of first and second order. Equations with polynomial coefficients areconsidered and explicit solutions for equations with linear coefficients aregiven, showing significant differences in the functional form of solutions ofdifferential equations from those of difference equations. An alternativemethod of solution involving transformation of both the dependent andindependent variables is given for both differential and difference equations.A comprehensive, detailed treatment of Green’s functions and the associatedinitial and boundary conditions is presented for differential and differenceequations of both arbitrary and second order. A dictionary of differenceequations with polynomial coefficients p
出版日期Book 2016
關鍵詞Solution of linear differential equations; Solution of linear difference equations; Wronskian determin
版次1
doihttps://doi.org/10.1007/978-3-319-29736-1
isbn_softcover978-3-319-80639-6
isbn_ebook978-3-319-29736-1
copyrightSpringer International Publishing Switzerland 2016
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沙發(fā)
發(fā)表于 2025-3-21 21:12:53 | 只看該作者
Portfolio Planning: uses and limits then giving the results for the first and second order equations as specific examples. We first present the analysis for differential equations and then follow with the analysis for difference equations.
板凳
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地板
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5#
發(fā)表于 2025-3-22 09:25:23 | 只看該作者
https://doi.org/10.1057/9780230505346 point of the interval, we consider the equation in which the inhomogeneous term is the Dirac delta function, ., which is zero except at the point . within the interval. Its solution is called the Green’s function .. In considering the Green’s function for difference equations we follow closely the analysis presented for differential equations.
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Solution of Homogeneous and Inhomogeneous Linear Equations, then giving the results for the first and second order equations as specific examples. We first present the analysis for differential equations and then follow with the analysis for difference equations.
9#
發(fā)表于 2025-3-23 04:25:53 | 只看該作者
,Second Order Homogeneous and?Inhomogeneous Equations,rder equation, which can then be solved in closed form. If the original second order equation is homogeneous then the transformed first order equation is also homogeneous, and its solution provides a second, linearly independent solution to the second order equation.
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