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Sturm-Liouville representation

The formal solution of the fractional rotational diffusion equation is obtained just as that of Eq. (135) from the Sturm-Liouville representation [7,57]... [Pg.326]

The Sturm-Liouville representation (136) is a formal solution as a knowledge of all eigenfunctions )( 4>), and corresponding eigenvalues Xp is required. However, this representation is very useful because it allows one to obtain a formal solution for the longitudinal complex susceptibility = x i ) According to... [Pg.327]

The formal step-off transient solution of Eq. (172) for t > 0 is obtained from the Sturm-Liouville representation... [Pg.340]

Our objective is to ascertain how anomalous diffusion modihes the dielectric relaxation in a bistable potential with two nonequivalent wells, Eq. (195). The formal step-off transient solution of Eq. (172) for t > 0 is obtained from the Sturm-Liouville representation, Eq. (179), with the initial (equilibrium) distribution function... [Pg.349]


See other pages where Sturm-Liouville representation is mentioned: [Pg.340]    [Pg.340]    [Pg.202]    [Pg.521]    [Pg.537]    [Pg.201]   


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