Existence of solutions for two-point boundary-value problems with singular differential equations of variable order
In this work, we show the existence of a solution for a two-point boundary-value problem having a singular differential equation of variable order. We use some analysis techniques and the Arzela-Ascoli theorem, and then illustrate our results with examples.
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| Format: | Article |
| Language: | English |
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Texas State University
2013-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/245/abstr.html |
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doaj-3735ba1bf3e44869850851a8ef302774 |
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Article |
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doaj-3735ba1bf3e44869850851a8ef3027742020-11-24T23:11:15ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-11-012013245,116Existence of solutions for two-point boundary-value problems with singular differential equations of variable orderShuqin Zhang0 China Univ. of Mining and Technology, Beijing, China In this work, we show the existence of a solution for a two-point boundary-value problem having a singular differential equation of variable order. We use some analysis techniques and the Arzela-Ascoli theorem, and then illustrate our results with examples.http://ejde.math.txstate.edu/Volumes/2013/245/abstr.htmlDerivatives and integrals of variable ordersingulardifferential equations of variable orderArzela-Ascoli theorem |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Shuqin Zhang |
| spellingShingle |
Shuqin Zhang Existence of solutions for two-point boundary-value problems with singular differential equations of variable order Electronic Journal of Differential Equations Derivatives and integrals of variable order singular differential equations of variable order Arzela-Ascoli theorem |
| author_facet |
Shuqin Zhang |
| author_sort |
Shuqin Zhang |
| title |
Existence of solutions for two-point boundary-value problems with singular differential equations of variable order |
| title_short |
Existence of solutions for two-point boundary-value problems with singular differential equations of variable order |
| title_full |
Existence of solutions for two-point boundary-value problems with singular differential equations of variable order |
| title_fullStr |
Existence of solutions for two-point boundary-value problems with singular differential equations of variable order |
| title_full_unstemmed |
Existence of solutions for two-point boundary-value problems with singular differential equations of variable order |
| title_sort |
existence of solutions for two-point boundary-value problems with singular differential equations of variable order |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2013-11-01 |
| description |
In this work, we show the existence of a solution for
a two-point boundary-value problem having a singular differential
equation of variable order. We use some analysis techniques and
the Arzela-Ascoli theorem, and then illustrate our results with
examples. |
| topic |
Derivatives and integrals of variable order singular differential equations of variable order Arzela-Ascoli theorem |
| url |
http://ejde.math.txstate.edu/Volumes/2013/245/abstr.html |
| work_keys_str_mv |
AT shuqinzhang existenceofsolutionsfortwopointboundaryvalueproblemswithsingulardifferentialequationsofvariableorder |
| _version_ |
1725605131815223296 |