Oscillation and spectral properties of self-adjoint even order differential operators with middle terms
Oscillation and spectral properties of even order self-adjoint differential operators of the form $$ L(y):=\frac{1}{w(t)}\sum_{k=0}^n (-1)^k \left(r_k(t)y^{(k)}\right)^{(k)},\quad r_n(t)>0\, ,w(t)>0, %\tag{L} $$ are investigated. A particular attention is devo...
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University of Szeged
2004-08-01
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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=190 |
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doaj-ab6578c260ee4ca389739f298f8e25352021-07-14T07:21:18ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752004-08-012003712110.14232/ejqtde.2003.6.7190Oscillation and spectral properties of self-adjoint even order differential operators with middle termsOndrej Dosly0Masaryk University, Brno, Czech RepublicOscillation and spectral properties of even order self-adjoint differential operators of the form $$ L(y):=\frac{1}{w(t)}\sum_{k=0}^n (-1)^k \left(r_k(t)y^{(k)}\right)^{(k)},\quad r_n(t)>0\, ,w(t)>0, %\tag{L} $$ are investigated. A particular attention is devoted to the fourth order operators with a middle term, for which new (non)oscillation criteria are derived. Some open problems and perspectives of further research are discussed.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=190 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ondrej Dosly |
| spellingShingle |
Ondrej Dosly Oscillation and spectral properties of self-adjoint even order differential operators with middle terms Electronic Journal of Qualitative Theory of Differential Equations |
| author_facet |
Ondrej Dosly |
| author_sort |
Ondrej Dosly |
| title |
Oscillation and spectral properties of self-adjoint even order differential operators with middle terms |
| title_short |
Oscillation and spectral properties of self-adjoint even order differential operators with middle terms |
| title_full |
Oscillation and spectral properties of self-adjoint even order differential operators with middle terms |
| title_fullStr |
Oscillation and spectral properties of self-adjoint even order differential operators with middle terms |
| title_full_unstemmed |
Oscillation and spectral properties of self-adjoint even order differential operators with middle terms |
| title_sort |
oscillation and spectral properties of self-adjoint even order differential operators with middle terms |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2004-08-01 |
| description |
Oscillation and spectral properties of even order self-adjoint differential operators of the form
$$
L(y):=\frac{1}{w(t)}\sum_{k=0}^n (-1)^k \left(r_k(t)y^{(k)}\right)^{(k)},\quad r_n(t)>0\, ,w(t)>0, %\tag{L}
$$
are investigated. A particular attention is devoted to the fourth order operators with a middle term, for which new (non)oscillation criteria are derived. Some open problems and perspectives of further research are discussed. |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=190 |
| work_keys_str_mv |
AT ondrejdosly oscillationandspectralpropertiesofselfadjointevenorderdifferentialoperatorswithmiddleterms |
| _version_ |
1721303963411677184 |