A uniqueness result for ordinary differential equations with singular coefficients
We consider the uniqueness of solutions of ordinary differential equations where the coefficients may have singularities. We derive upper bounds on the order of singularities of the coefficients and provide examples to illustrate the results.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2009-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/56/abstr.html |
| _version_ | 1828849975839162368 |
|---|---|
| author | Yifei Pan Mei Wang |
| author_facet | Yifei Pan Mei Wang |
| author_sort | Yifei Pan |
| collection | DOAJ |
| description | We consider the uniqueness of solutions of ordinary differential equations where the coefficients may have singularities. We derive upper bounds on the order of singularities of the coefficients and provide examples to illustrate the results. |
| first_indexed | 2024-12-12T23:01:20Z |
| format | Article |
| id | doaj.art-354aa442ef25461882ae08698ba85286 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T23:01:20Z |
| publishDate | 2009-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-354aa442ef25461882ae08698ba852862022-12-22T00:08:48ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912009-04-01200955,16A uniqueness result for ordinary differential equations with singular coefficientsYifei PanMei WangWe consider the uniqueness of solutions of ordinary differential equations where the coefficients may have singularities. We derive upper bounds on the order of singularities of the coefficients and provide examples to illustrate the results.http://ejde.math.txstate.edu/Volumes/2009/56/abstr.htmlUniquenessunique continuation |
| spellingShingle | Yifei Pan Mei Wang A uniqueness result for ordinary differential equations with singular coefficients Electronic Journal of Differential Equations Uniqueness unique continuation |
| title | A uniqueness result for ordinary differential equations with singular coefficients |
| title_full | A uniqueness result for ordinary differential equations with singular coefficients |
| title_fullStr | A uniqueness result for ordinary differential equations with singular coefficients |
| title_full_unstemmed | A uniqueness result for ordinary differential equations with singular coefficients |
| title_short | A uniqueness result for ordinary differential equations with singular coefficients |
| title_sort | uniqueness result for ordinary differential equations with singular coefficients |
| topic | Uniqueness unique continuation |
| url | http://ejde.math.txstate.edu/Volumes/2009/56/abstr.html |
| work_keys_str_mv | AT yifeipan auniquenessresultforordinarydifferentialequationswithsingularcoefficients AT meiwang auniquenessresultforordinarydifferentialequationswithsingularcoefficients AT yifeipan uniquenessresultforordinarydifferentialequationswithsingularcoefficients AT meiwang uniquenessresultforordinarydifferentialequationswithsingularcoefficients |