POSITIVE SOLUTIONS FOR p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES

POSITIVE SOLUTIONS FOR p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES

The three-point boundary value problems of p-Laplacian dynamic equations on time scales are investigated. By using Krasnosel＇skii＇s fixed-point theorem and fixed-point index theorem, criteria are achieved for the existence of at least one, two or 2n positive solutions. Furthermore, some examples are...

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Veröffentlicht in:Applied Mathematics-A Journal of Chinese Universities 2007-03, Vol.22 (1), p.69-77
Hauptverfasser: Geng, Fengjie, Zhu, Deming, Li, Hongzhi
Format: Artikel
Sprache:eng
Schlagworte:
p-拉普拉斯动态方程
三点边值问题
时间尺度
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Zusammenfassung:The three-point boundary value problems of p-Laplacian dynamic equations on time scales are investigated. By using Krasnosel＇skii＇s fixed-point theorem and fixed-point index theorem, criteria are achieved for the existence of at least one, two or 2n positive solutions. Furthermore, some examples are included to illustrate the main theorems.
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-007-0009-8