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Existence and uniqueness of the p-generalized modified error function. (arXiv:1810.03934v1 [math.CA])
来源于:arXiv
In this paper, the p-generalized modified error function is defined as the
solution to a non-linear ordinary differential problem of second order with a
Robin type condition at $x=0$. Existence and uniqueness of a non-negative
analytic solution is proved by using a fixed point strategy. It is shown that
the p-generalized modified error function converges to the p-modified error
function defined as the solution to a similar problem with a Dirichlet
condition at x=0. In both problems, for p=1, the generalized modified error
function and the modified error function, studied recently in literature, are
recovered 查看全文>>