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The Laplace Transform [PDF]

open access: possible, 2001
In this chapter the emphasis of the discussion shifts from Laplace integrals \(\hat f(\lambda)\) and \(\hat dF(\lambda)\) to the Laplace transform \(\mathcal L : f \mapsto \hat f\) and to the Laplace-Stieltjes transform \(\mathcal Ls : F \mapsto \widehat {dF} \)
Wolfgang Arendt   +3 more
openaire   +3 more sources

The laplace transform

Heat Transfer 1, 1991
Since we first introduced Fourier analysis in Lecture 7, we have relied heavily on its properties in the analysis and representation of signals and linear, time-invariant systems.
Vladimir Eiderman
semanticscholar   +1 more source

Some further results of the laplace transform for variable–order fractional difference equations

, 2019
The Laplace transform is important for exact solutions of linear differential equations and frequency response analysis methods. In comparison with the continuous–time systems, less results can be available for fractional difference equations. This study
D. Baleanu, Guo-cheng Wu
semanticscholar   +1 more source

The Laplace Transformation [PDF]

open access: possible, 2013
The purpose of an analytic transformation is to change a more complicated problem into a simpler one. The Laplace transformation, which is applied chiefly with respect to the time variable, maps an IVP onto an algebraic equation or system. Once the latter is solved, its solution is fed into the inverse transformation to yield the solution of the ...
openaire   +1 more source

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