Constants in the oscillation theory of higher order Sturm-Liouville differential equations
We find the the exact value of a constant in some oscillation criteria for the higher order Sturm-Liouville differential equation $$ (-1)^{n}(t^alpha y^{(n)})^{(n)}=q(t)y . $$ We also study some general aspects in the oscillation theory of this equation.
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| Format: | Article |
| Language: | English |
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Texas State University
2002-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/34/abstr.html |
| _version_ | 1811285040349315072 |
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| author | Ondrej Dosly |
| author_facet | Ondrej Dosly |
| author_sort | Ondrej Dosly |
| collection | DOAJ |
| description | We find the the exact value of a constant in some oscillation criteria for the higher order Sturm-Liouville differential equation $$ (-1)^{n}(t^alpha y^{(n)})^{(n)}=q(t)y . $$ We also study some general aspects in the oscillation theory of this equation. |
| first_indexed | 2024-04-13T02:38:33Z |
| format | Article |
| id | doaj.art-8a2e241a8c4c4b5fa063dbd4c9d72622 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T02:38:33Z |
| publishDate | 2002-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-8a2e241a8c4c4b5fa063dbd4c9d726222022-12-22T03:06:17ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-04-01200234112Constants in the oscillation theory of higher order Sturm-Liouville differential equationsOndrej DoslyWe find the the exact value of a constant in some oscillation criteria for the higher order Sturm-Liouville differential equation $$ (-1)^{n}(t^alpha y^{(n)})^{(n)}=q(t)y . $$ We also study some general aspects in the oscillation theory of this equation.http://ejde.math.txstate.edu/Volumes/2002/34/abstr.htmlSturm-Liouville differential equation, variational method, oscillation and non-oscillation criteria, conditional oscillation. |
| spellingShingle | Ondrej Dosly Constants in the oscillation theory of higher order Sturm-Liouville differential equations Electronic Journal of Differential Equations Sturm-Liouville differential equation, variational method, oscillation and non-oscillation criteria, conditional oscillation. |
| title | Constants in the oscillation theory of higher order Sturm-Liouville differential equations |
| title_full | Constants in the oscillation theory of higher order Sturm-Liouville differential equations |
| title_fullStr | Constants in the oscillation theory of higher order Sturm-Liouville differential equations |
| title_full_unstemmed | Constants in the oscillation theory of higher order Sturm-Liouville differential equations |
| title_short | Constants in the oscillation theory of higher order Sturm-Liouville differential equations |
| title_sort | constants in the oscillation theory of higher order sturm liouville differential equations |
| topic | Sturm-Liouville differential equation, variational method, oscillation and non-oscillation criteria, conditional oscillation. |
| url | http://ejde.math.txstate.edu/Volumes/2002/34/abstr.html |
| work_keys_str_mv | AT ondrejdosly constantsintheoscillationtheoryofhigherordersturmliouvilledifferentialequations |