Eigenvalue characterization for a class of boundary value problems
We consider the $n$'th order ordinary differential equation $(-1)^{n-k} y^{(n)}=\lambda a(t) f(y)$, $t\in[0,1]$, $n\geq 3$ together with the boundary condition $y^{(i)}(0)=0$, $0\leq i\leq k-1$ and $y^{(l)}=0$, $j\leq l\leq j+n-k-1$, for $1\leq j\leq k-1$ fixed. Values of $\lambda$ are characte...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
1999-01-01
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| 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=22 |
| _version_ | 1797830784124452864 |
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| author | C. J. Chyan Johnny Henderson |
| author_facet | C. J. Chyan Johnny Henderson |
| author_sort | C. J. Chyan |
| collection | DOAJ |
| description | We consider the $n$'th order ordinary differential equation $(-1)^{n-k} y^{(n)}=\lambda a(t) f(y)$, $t\in[0,1]$, $n\geq 3$ together with the boundary condition $y^{(i)}(0)=0$, $0\leq i\leq k-1$ and $y^{(l)}=0$, $j\leq l\leq j+n-k-1$, for $1\leq j\leq k-1$ fixed. Values of $\lambda$ are characterized so that the boundary value problem has a positive solution. |
| first_indexed | 2024-04-09T13:42:42Z |
| format | Article |
| id | doaj.art-728bfb4f921e4f3085954b062645cc89 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:42:42Z |
| publishDate | 1999-01-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-728bfb4f921e4f3085954b062645cc892023-05-09T07:52:56ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751999-01-0119991211310.14232/ejqtde.1999.1.1222Eigenvalue characterization for a class of boundary value problemsC. J. Chyan0Johnny Henderson1Tamkang University, Taipei, TaiwanDepartment of Mathematics, Baylor University, Waco, TX, U.S.A.We consider the $n$'th order ordinary differential equation $(-1)^{n-k} y^{(n)}=\lambda a(t) f(y)$, $t\in[0,1]$, $n\geq 3$ together with the boundary condition $y^{(i)}(0)=0$, $0\leq i\leq k-1$ and $y^{(l)}=0$, $j\leq l\leq j+n-k-1$, for $1\leq j\leq k-1$ fixed. Values of $\lambda$ are characterized so that the boundary value problem has a positive solution.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=22 |
| spellingShingle | C. J. Chyan Johnny Henderson Eigenvalue characterization for a class of boundary value problems Electronic Journal of Qualitative Theory of Differential Equations |
| title | Eigenvalue characterization for a class of boundary value problems |
| title_full | Eigenvalue characterization for a class of boundary value problems |
| title_fullStr | Eigenvalue characterization for a class of boundary value problems |
| title_full_unstemmed | Eigenvalue characterization for a class of boundary value problems |
| title_short | Eigenvalue characterization for a class of boundary value problems |
| title_sort | eigenvalue characterization for a class of boundary value problems |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=22 |
| work_keys_str_mv | AT cjchyan eigenvaluecharacterizationforaclassofboundaryvalueproblems AT johnnyhenderson eigenvaluecharacterizationforaclassofboundaryvalueproblems |