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...
| Main Author: | |
|---|---|
| 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¶mtipus_ertek=publication¶m_ertek=457 |
| id |
doaj-8014227f87d941aca55517a1e3d4f320 |
|---|---|
| record_format |
Article |
| spelling |
doaj-8014227f87d941aca55517a1e3d4f3202021-07-14T07:21:21ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752009-12-012009701410.14232/ejqtde.2009.1.70457Three point boundary value problem for singularly perturbed semilinear differential equationsRobert Vrabel0Slovak Technical University Bratislava, Institute of Applied Informatics, Automation and Mathematics, Trnava, SlovakiaIn 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 boundary conditions. Our analysis relies on the method of lower and upper solutions.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=457 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Robert Vrabel |
| spellingShingle |
Robert Vrabel Three point boundary value problem for singularly perturbed semilinear differential equations Electronic Journal of Qualitative Theory of Differential Equations |
| author_facet |
Robert Vrabel |
| author_sort |
Robert Vrabel |
| title |
Three point boundary value problem for singularly perturbed semilinear differential equations |
| title_short |
Three point boundary value problem for singularly perturbed semilinear differential equations |
| title_full |
Three point boundary value problem for singularly perturbed semilinear differential equations |
| title_fullStr |
Three point boundary value problem for singularly perturbed semilinear differential equations |
| title_full_unstemmed |
Three point boundary value problem for singularly perturbed semilinear differential equations |
| title_sort |
three point boundary value problem for singularly perturbed semilinear differential equations |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2009-12-01 |
| description |
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 boundary conditions. Our analysis relies on the method of lower and upper solutions. |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=457 |
| work_keys_str_mv |
AT robertvrabel threepointboundaryvalueproblemforsingularlyperturbedsemilineardifferentialequations |
| _version_ |
1721303841388888064 |