A method of solving y(k)−f(x)y=0
An alternative method is shown for solving the differential equation y(k)−f(x)y=0 by means of series. Also included is a result for a sequence of functions {Sn(x)}n=1∞ which gives conditions under which limn(dkdxkSn(x))=dkdxk(limnSn(x)).
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171292000206 |
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| _version_ | 1832565042312118272 |
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| author | P. J. O'Hara R. Osteen R. S. Rodriguez |
| author_facet | P. J. O'Hara R. Osteen R. S. Rodriguez |
| author_sort | P. J. O'Hara |
| collection | DOAJ |
| description | An alternative method is shown for solving the differential equation y(k)−f(x)y=0 by means of series. Also included is a result for a sequence of functions {Sn(x)}n=1∞ which gives conditions under which limn(dkdxkSn(x))=dkdxk(limnSn(x)). |
| format | Article |
| id | doaj-art-9156bf8a4ab740ab935b0ce0a53fe444 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9156bf8a4ab740ab935b0ce0a53fe4442025-02-03T01:09:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115118318810.1155/S0161171292000206A method of solving y(k)−f(x)y=0P. J. O'Hara0R. Osteen1R. S. Rodriguez2Department of Mathematics, University of Central Florida, Orlando 32816, FL, USADepartment of Mathematics, University of Central Florida, Orlando 32816, FL, USADepartment of Mathematics, University of Central Florida, Orlando 32816, FL, USAAn alternative method is shown for solving the differential equation y(k)−f(x)y=0 by means of series. Also included is a result for a sequence of functions {Sn(x)}n=1∞ which gives conditions under which limn(dkdxkSn(x))=dkdxk(limnSn(x)).http://dx.doi.org/10.1155/S0161171292000206differential equationssequence of functions. |
| spellingShingle | P. J. O'Hara R. Osteen R. S. Rodriguez A method of solving y(k)−f(x)y=0 International Journal of Mathematics and Mathematical Sciences differential equations sequence of functions. |
| title | A method of solving y(k)−f(x)y=0 |
| title_full | A method of solving y(k)−f(x)y=0 |
| title_fullStr | A method of solving y(k)−f(x)y=0 |
| title_full_unstemmed | A method of solving y(k)−f(x)y=0 |
| title_short | A method of solving y(k)−f(x)y=0 |
| title_sort | method of solving y k f x y 0 |
| topic | differential equations sequence of functions. |
| url | http://dx.doi.org/10.1155/S0161171292000206 |
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