Hyers-Ulam Stability of Differential Equation <inline-formula> <graphic file="1029-242X-2010-793197-i1.gif"/></inline-formula>
<p/> <p>We solve the inhomogeneous differential equation of the form <inline-formula> <graphic file="1029-242X-2010-793197-i2.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-793197-i3.gif"/></inline-formul...
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| Format: | Article |
| Language: | English |
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2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/793197 |
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doaj-8d64cfa862474b3f8465071700cfd7802020-11-24T22:02:26ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101793197Hyers-Ulam Stability of Differential Equation <inline-formula> <graphic file="1029-242X-2010-793197-i1.gif"/></inline-formula>Jung Soon-Mo<p/> <p>We solve the inhomogeneous differential equation of the form <inline-formula> <graphic file="1029-242X-2010-793197-i2.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-793197-i3.gif"/></inline-formula> is a nonnegative integer, and apply this result to the proof of a local Hyers-Ulam stability of the differential equation <inline-formula> <graphic file="1029-242X-2010-793197-i4.gif"/></inline-formula> in a special class of analytic functions.</p>http://www.journalofinequalitiesandapplications.com/content/2010/793197 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jung Soon-Mo |
| spellingShingle |
Jung Soon-Mo Hyers-Ulam Stability of Differential Equation <inline-formula> <graphic file="1029-242X-2010-793197-i1.gif"/></inline-formula> Journal of Inequalities and Applications |
| author_facet |
Jung Soon-Mo |
| author_sort |
Jung Soon-Mo |
| title |
Hyers-Ulam Stability of Differential Equation <inline-formula> <graphic file="1029-242X-2010-793197-i1.gif"/></inline-formula> |
| title_short |
Hyers-Ulam Stability of Differential Equation <inline-formula> <graphic file="1029-242X-2010-793197-i1.gif"/></inline-formula> |
| title_full |
Hyers-Ulam Stability of Differential Equation <inline-formula> <graphic file="1029-242X-2010-793197-i1.gif"/></inline-formula> |
| title_fullStr |
Hyers-Ulam Stability of Differential Equation <inline-formula> <graphic file="1029-242X-2010-793197-i1.gif"/></inline-formula> |
| title_full_unstemmed |
Hyers-Ulam Stability of Differential Equation <inline-formula> <graphic file="1029-242X-2010-793197-i1.gif"/></inline-formula> |
| title_sort |
hyers-ulam stability of differential equation <inline-formula> <graphic file="1029-242x-2010-793197-i1.gif"/></inline-formula> |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2010-01-01 |
| description |
<p/> <p>We solve the inhomogeneous differential equation of the form <inline-formula> <graphic file="1029-242X-2010-793197-i2.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-793197-i3.gif"/></inline-formula> is a nonnegative integer, and apply this result to the proof of a local Hyers-Ulam stability of the differential equation <inline-formula> <graphic file="1029-242X-2010-793197-i4.gif"/></inline-formula> in a special class of analytic functions.</p> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2010/793197 |
| work_keys_str_mv |
AT jungsoonmo hyersulamstabilityofdifferentialequationinlineformulagraphicfile1029242x2010793197i1gifinlineformula |
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