Qualitative properties of solutions of certain fourth order linear differential equations
This work considers differential equations of the form (py″)′′+qy″+ry=0 where p,q and r are positive continuous functions defined on [0,∞). The main concentration is on the oscillatory and asymptotic behavior of the solutions. Such an investigation is important because the above equation often aris...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1981-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171281000598 |
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| _version_ | 1849683761174675456 |
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| author | W. E. Taylor |
| author_facet | W. E. Taylor |
| author_sort | W. E. Taylor |
| collection | DOAJ |
| description | This work considers differential equations of the form (py″)′′+qy″+ry=0
where p,q and r are positive continuous functions defined on [0,∞). The main concentration is on the oscillatory and asymptotic behavior of the solutions. Such an investigation is important because the above equation often arises in the study of mechanical vibrations. |
| format | Article |
| id | doaj-art-d613d1a80a7d4e1d82e40d29a3065c84 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1981-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d613d1a80a7d4e1d82e40d29a3065c842025-08-20T03:23:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251981-01-014476377410.1155/S0161171281000598Qualitative properties of solutions of certain fourth order linear differential equationsW. E. Taylor0Department of General Academics, Texas A & M at Galveston, Galveston 77553, Texas, USAThis work considers differential equations of the form (py″)′′+qy″+ry=0 where p,q and r are positive continuous functions defined on [0,∞). The main concentration is on the oscillatory and asymptotic behavior of the solutions. Such an investigation is important because the above equation often arises in the study of mechanical vibrations.http://dx.doi.org/10.1155/S0161171281000598oscillatory solutionsnonoscillatory solutionsstrong oscillationoscillation number. |
| spellingShingle | W. E. Taylor Qualitative properties of solutions of certain fourth order linear differential equations International Journal of Mathematics and Mathematical Sciences oscillatory solutions nonoscillatory solutions strong oscillation oscillation number. |
| title | Qualitative properties of solutions of certain fourth order linear differential equations |
| title_full | Qualitative properties of solutions of certain fourth order linear differential equations |
| title_fullStr | Qualitative properties of solutions of certain fourth order linear differential equations |
| title_full_unstemmed | Qualitative properties of solutions of certain fourth order linear differential equations |
| title_short | Qualitative properties of solutions of certain fourth order linear differential equations |
| title_sort | qualitative properties of solutions of certain fourth order linear differential equations |
| topic | oscillatory solutions nonoscillatory solutions strong oscillation oscillation number. |
| url | http://dx.doi.org/10.1155/S0161171281000598 |
| work_keys_str_mv | AT wetaylor qualitativepropertiesofsolutionsofcertainfourthorderlineardifferentialequations |