An existence principle for solutions to a singular boundary-value problems

The singular boundary-value problem is studied. The singularity may appear at u  = 0, and the function g may change sign. An existence theorem for solutions to the above boundary-value problem is proposed, and it is proved via the method of upper and lower solutions.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2011-09, Vol.177 (3), p.466-473
Hauptverfasser: Weng, Shiyou, Gao, Haiyin, Jiang, Daqing, Hou, Xuezhang
Format: Artikel
Sprache:eng
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Zusammenfassung:The singular boundary-value problem is studied. The singularity may appear at u  = 0, and the function g may change sign. An existence theorem for solutions to the above boundary-value problem is proposed, and it is proved via the method of upper and lower solutions.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-011-0472-x