Artigo
One-sided and two-sided Green's functions
Registro en:
Boundary Value Problems. Cham: Springer International Publishing Ag, 11 p., 2013.
1687-2770
10.1186/1687-2770-2013-45
WOS:000325705400001
WOS000325705400001.pdf
4894275157982649
0000-0001-7417-3308
Autor
Camargo, Rubens de Figueiredo [UNESP]
Chiacchio, Ary Orozimbo
Oliveira, Edmundo Capelas de
Resumen
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. UNESP, Fac Ciencias, Dept Matemat, BR-17033369 Bauru, SP, Brazil Univ Estadual Campinas, Imecc, Dept Matemat, BR-13081970 Campinas, SP, Brazil UNESP, Fac Ciencias, Dept Matemat, BR-17033369 Bauru, SP, Brazil