A representation theorem for the linear quasi-differential equation (py′)′+qy=0
We establish a representation for q in the second-order linear quasi-differential equation (py′)′+qy=0. We give a number of applications, including a simple proof of Sturm's comparison theorem.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120000199X |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564121798705152 |
|---|---|
| author | J. G. O'Hara |
| author_facet | J. G. O'Hara |
| author_sort | J. G. O'Hara |
| collection | DOAJ |
| description | We establish a representation for q in the second-order linear
quasi-differential equation (py′)′+qy=0. We give a
number of applications, including a simple proof of Sturm's
comparison theorem. |
| format | Article |
| id | doaj-art-4ef0ebe564874e59843d40c2e7324e08 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4ef0ebe564874e59843d40c2e7324e082025-02-03T01:11:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123857958410.1155/S016117120000199XA representation theorem for the linear quasi-differential equation (py′)′+qy=0J. G. O'Hara0Department of Mathematics and Applied Mathematics, University of Durban-Westville, Private Bag X54001, Durban 4000, South AfricaWe establish a representation for q in the second-order linear quasi-differential equation (py′)′+qy=0. We give a number of applications, including a simple proof of Sturm's comparison theorem.http://dx.doi.org/10.1155/S016117120000199X |
| spellingShingle | J. G. O'Hara A representation theorem for the linear quasi-differential equation (py′)′+qy=0 International Journal of Mathematics and Mathematical Sciences |
| title | A representation theorem for the linear quasi-differential
equation (py′)′+qy=0 |
| title_full | A representation theorem for the linear quasi-differential
equation (py′)′+qy=0 |
| title_fullStr | A representation theorem for the linear quasi-differential
equation (py′)′+qy=0 |
| title_full_unstemmed | A representation theorem for the linear quasi-differential
equation (py′)′+qy=0 |
| title_short | A representation theorem for the linear quasi-differential
equation (py′)′+qy=0 |
| title_sort | representation theorem for the linear quasi differential equation py qy 0 |
| url | http://dx.doi.org/10.1155/S016117120000199X |
| work_keys_str_mv | AT jgohara arepresentationtheoremforthelinearquasidifferentialequationpyqy0 AT jgohara representationtheoremforthelinearquasidifferentialequationpyqy0 |