On the averaging method for differential equations with delay
In this paper, we present averaging results for delay differential equations under weak conditions. The main result is formulated in both classical mathematics and nonstandard analysis. It is proved with internal set theory which is an axiomatic description of nonstandard analysis.
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| Format: | Article |
| Language: | English |
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Texas State University
2002-07-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/65/abstr.html |
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doaj-fa57c7117e69494a9489e7e697565e06 |
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doaj-fa57c7117e69494a9489e7e697565e062020-11-25T00:47:51ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-07-01200265116On the averaging method for differential equations with delayMustapha LakribIn this paper, we present averaging results for delay differential equations under weak conditions. The main result is formulated in both classical mathematics and nonstandard analysis. It is proved with internal set theory which is an axiomatic description of nonstandard analysis. http://ejde.math.txstate.edu/Volumes/2002/65/abstr.htmlAveraging methoddifferential equations with delaynonstandard analysis. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mustapha Lakrib |
| spellingShingle |
Mustapha Lakrib On the averaging method for differential equations with delay Electronic Journal of Differential Equations Averaging method differential equations with delay nonstandard analysis. |
| author_facet |
Mustapha Lakrib |
| author_sort |
Mustapha Lakrib |
| title |
On the averaging method for differential equations with delay |
| title_short |
On the averaging method for differential equations with delay |
| title_full |
On the averaging method for differential equations with delay |
| title_fullStr |
On the averaging method for differential equations with delay |
| title_full_unstemmed |
On the averaging method for differential equations with delay |
| title_sort |
on the averaging method for differential equations with delay |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2002-07-01 |
| description |
In this paper, we present averaging results for delay differential equations under weak conditions. The main result is formulated in both classical mathematics and nonstandard analysis. It is proved with internal set theory which is an axiomatic description of nonstandard analysis. |
| topic |
Averaging method differential equations with delay nonstandard analysis. |
| url |
http://ejde.math.txstate.edu/Volumes/2002/65/abstr.html |
| work_keys_str_mv |
AT mustaphalakrib ontheaveragingmethodfordifferentialequationswithdelay |
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