A necessary and sufficient condition for the existence of positive solutions to singular boundary-value problems of higher order differential equations
By constructing some special cones and using fixed point theorem of cone expansion and compression, this paper presents some necessary and sufficient conditions for the existence of $C^{4n-2}$ positive solutions to a class of singular boundary-value problems. Some examples are presented to ill...
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Texas State University
2006-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/08/abstr.html |
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doaj-7c8f543410cc415c871041e333e54a402020-11-25T00:50:07ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-01-01200608119A necessary and sufficient condition for the existence of positive solutions to singular boundary-value problems of higher order differential equationsChenglong ZhaoYanyan YuanYansheng LiuBy constructing some special cones and using fixed point theorem of cone expansion and compression, this paper presents some necessary and sufficient conditions for the existence of $C^{4n-2}$ positive solutions to a class of singular boundary-value problems. Some examples are presented to illustrate our main results. http://ejde.math.txstate.edu/Volumes/2006/08/abstr.htmlSingular sublinear boundary-value problempositive solutionfixed point theoremconehigher order differential equation. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chenglong Zhao Yanyan Yuan Yansheng Liu |
| spellingShingle |
Chenglong Zhao Yanyan Yuan Yansheng Liu A necessary and sufficient condition for the existence of positive solutions to singular boundary-value problems of higher order differential equations Electronic Journal of Differential Equations Singular sublinear boundary-value problem positive solution fixed point theorem cone higher order differential equation. |
| author_facet |
Chenglong Zhao Yanyan Yuan Yansheng Liu |
| author_sort |
Chenglong Zhao |
| title |
A necessary and sufficient condition for the existence of positive solutions to singular boundary-value problems of higher order differential equations |
| title_short |
A necessary and sufficient condition for the existence of positive solutions to singular boundary-value problems of higher order differential equations |
| title_full |
A necessary and sufficient condition for the existence of positive solutions to singular boundary-value problems of higher order differential equations |
| title_fullStr |
A necessary and sufficient condition for the existence of positive solutions to singular boundary-value problems of higher order differential equations |
| title_full_unstemmed |
A necessary and sufficient condition for the existence of positive solutions to singular boundary-value problems of higher order differential equations |
| title_sort |
necessary and sufficient condition for the existence of positive solutions to singular boundary-value problems of higher order differential equations |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2006-01-01 |
| description |
By constructing some special cones and using fixed point theorem of cone expansion and compression, this paper presents some necessary and sufficient conditions for the existence of $C^{4n-2}$ positive solutions to a class of singular boundary-value problems. Some examples are presented to illustrate our main results. |
| topic |
Singular sublinear boundary-value problem positive solution fixed point theorem cone higher order differential equation. |
| url |
http://ejde.math.txstate.edu/Volumes/2006/08/abstr.html |
| work_keys_str_mv |
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