Three point boundary value problem for singularly perturbed semilinear differential equations

In this paper, we investigate the problem of existence and asymptotic behavior of solutions for the nonlinear boundary value problem \begin{eqnarray*} \epsilon y''+ky=f(t,y),\quad t\in\langle a,b \rangle, \quad k<0,\quad 0<\epsilon<<1 \end{eqnarray*} satisfying three point boun...

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Bibliographic Details
Main Author: Robert Vrabel
Format: Article
Language:English
Published: University of Szeged 2009-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=457