Exact boundary behavior of the unique positive solution for singular second-order differential equations

In this paper, we give the exact asymptotic behavior of the unique positive solution to the following singular boundary value problem \begin{equation*} \begin{cases} -\frac{1}{A}(Au^{\prime })^{\prime }=p(x)g(u),\quad x\in (0,1), \\ u>0,\quad \text{in }(0,1), \\ \lim_{x\rightarrow 0^{+}}(Au^{\pri...

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Bibliographic Details
Main Authors: Imed Bachar, Habib Maagli
Format: Article
Language:English
Published: University of Szeged 2015-07-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3849