One-sided and two-sided Green's functions

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Data

2013-03-06

Autores

Camargo, Rubens de Figueiredo [UNESP]
Chiacchio, Ary Orozimbo
Oliveira, Edmundo Capelas de

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Springer

Resumo

We discuss the one-sided Green's function, associated with an initial value problem and the two-sided Green's function related to a boundary value problem. We present a specific calculation associated with a differential equation with constant coefficients. For both problems, we also present the Laplace integral transform as another methodology to calculate these Green's functions and conclude which is the most convenient one. An incursion in the so-called fractional Green's function is also presented. As an example, we discuss the isotropic harmonic oscillator.

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Como citar

Boundary Value Problems. Cham: Springer International Publishing Ag, 11 p., 2013.