On the Fučík type problem with integral nonlocal boundary conditions
The Fučík equation $x''=-\mu x^++\lambda x^-$ with integral nonlocal boundary value conditions $x(0)=x(1)=\gamma\int_0^1 x(s)ds$ is considered where $\mu, \lambda, \gamma\in\mathbb{R}$. The Fučík spectrum for this problem is constructed. The visualization of the spectrum for some values of...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2016-08-01
|
| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4263 |
| id |
doaj-aab1f712de644859ab7241585e2ceb66 |
|---|---|
| record_format |
Article |
| spelling |
doaj-aab1f712de644859ab7241585e2ceb662021-07-14T07:21:29ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752016-08-0120162111110.14232/ejqtde.2016.8.214263On the Fučík type problem with integral nonlocal boundary conditionsNatalija Sergejeva0Institute of Mathematics and Computer Science, University of LatviaThe Fučík equation $x''=-\mu x^++\lambda x^-$ with integral nonlocal boundary value conditions $x(0)=x(1)=\gamma\int_0^1 x(s)ds$ is considered where $\mu, \lambda, \gamma\in\mathbb{R}$. The Fučík spectrum for this problem is constructed. The visualization of the spectrum for some values of $\gamma$ are provided.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4263fučík type problemspectrumintegral nonlocal condition |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Natalija Sergejeva |
| spellingShingle |
Natalija Sergejeva On the Fučík type problem with integral nonlocal boundary conditions Electronic Journal of Qualitative Theory of Differential Equations fučík type problem spectrum integral nonlocal condition |
| author_facet |
Natalija Sergejeva |
| author_sort |
Natalija Sergejeva |
| title |
On the Fučík type problem with integral nonlocal boundary conditions |
| title_short |
On the Fučík type problem with integral nonlocal boundary conditions |
| title_full |
On the Fučík type problem with integral nonlocal boundary conditions |
| title_fullStr |
On the Fučík type problem with integral nonlocal boundary conditions |
| title_full_unstemmed |
On the Fučík type problem with integral nonlocal boundary conditions |
| title_sort |
on the fučík type problem with integral nonlocal boundary conditions |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2016-08-01 |
| description |
The Fučík equation $x''=-\mu x^++\lambda x^-$ with integral nonlocal boundary value conditions $x(0)=x(1)=\gamma\int_0^1 x(s)ds$ is considered where $\mu, \lambda, \gamma\in\mathbb{R}$. The Fučík spectrum for this problem is constructed. The visualization of the spectrum for some values of $\gamma$ are provided. |
| topic |
fučík type problem spectrum integral nonlocal condition |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4263 |
| work_keys_str_mv |
AT natalijasergejeva onthefuciktypeproblemwithintegralnonlocalboundaryconditions |
| _version_ |
1721303504973201408 |