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- W12773148 abstract "This chapter describes the integral transforms with infinite intervals applicable to linear differential equations. To solve a linear differential equation, it is sometimes easier to transform the equation to some “space,” solve the equation in that “space,” and then transform the solution back. For a linear differential equation, the equation is multiplied by a kernel and integrated over a specified region. Integration by parts is used to obtain an equation for the transform of the dependent variable. The “correct” transform is used if the boundary conditions given with the original equation are utilized. The equation is then solved for the transform of the dependent variable. The solution is obtained by multiplying by the inverse kernel and performing integration." @default.
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- W12773148 date "1992-01-01" @default.
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- W12773148 title "Integral Transforms: Infinite Intervals*" @default.
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- W12773148 doi "https://doi.org/10.1016/b978-0-12-784391-9.50079-8" @default.
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