昏暗 发表于 2025-3-23 11:31:39
,Green’s Function, 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.modish 发表于 2025-3-23 14:16:12
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Book 2016ifferential 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投票 发表于 2025-3-24 00:45:18
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Operators,rresponding operator, ., for difference equations and derive expressions for . operating on the product or the ratio of two functions and compare them to the corresponding expressions for the derivative operator.面包屑 发表于 2025-3-24 09:49:00
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,Second Order Homogeneous and Inhomogeneous Equations, Sect. ., if one solution of the homogeneous equation is known then the method of reduction of order transforms a second order equation into a first order equation, which can then be solved in closed form. If the original second order equation is homogeneous then the transformed first order equation红润 发表于 2025-3-24 15:53:46
Self-adjoint Linear Equations,ference, apply to operators and equations of all orders. However, given the fundamental place of second order equations, both differential and difference, for problems in classical and quantum physics, we restrict ourselves here to equations of second order, noting that most of the classical functio货物 发表于 2025-3-24 22:16:15
,Green’s Function,equation. In the method considered here, rather than determining the solution to the differential equation with the inhomogeneous term defined at each 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 . wBlood-Clot 发表于 2025-3-25 01:25:53
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