Singularly perturbed semilinear Neumann problem with non-normally hyperbolic critical manifold

In this paper, we investigate the problem of existence and asymptotic behavior of the 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 Neumann boun...

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Bibliographic Details
Main Author: Robert Vrabel
Format: Article
Language:English
Published: University of Szeged 2010-01-01
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=469

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