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...
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¶mtipus_ertek=publication¶m_ertek=469 |
Similar Items
-
Three point boundary value problem for singularly perturbed semilinear differential equations
by: Robert Vrabel
Published: (2009-12-01) -
Nonlocal Four-Point Boundary Value Problem for the Singularly Perturbed Semilinear Differential Equations
by: Vrabel Robert
Published: (2011-01-01) -
Nonlocal Four-Point Boundary Value Problem for the Singularly Perturbed Semilinear Differential Equations
by: Robert Vrabel
Published: (2011-01-01) -
A priori estimates for solutions to a four point boundary value problem for singularly perturbed semilinear differential equations
by: Robert Vrabel
Published: (2011-02-01) -
Active Control of Oscillation Patterns in the Presence of Multiarmed Pitchfork Structure of the Critical Manifold of Singularly Perturbed System
by: Robert Vrabel, et al.
Published: (2013-01-01)