Necessary and Sufficient Conditions for the Existence of Positive Solution for Singular Boundary Value Problems on Time Scales
Necessary and Sufficient Conditions for the Existence of Positive Solution for Singular Boundary Value Problems on Time Scales
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DOI：
10.1155/2009/737461
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发表时间：
2009-10
影响因子：
4.1
通讯作者：
M. Feng;Xuemei Zhang;Xiang-Gui Li;W. Ge
中科院分区：
文献类型：
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作者：
M. Feng;Xuemei Zhang;Xiang-Gui Li;W. Ge
通过构造有效的上下解，结合Schauder不动点定理和极大值原理，给出了一类时标上奇异边值问题存在正解的充分必要条件.结果显着扩展和改善许多已知的结果，连续的情况下，更一般的时间尺度。我们通过一个例子来说明我们的结果。
By constructing available upper and lower solutions and combining the Schauder's fixed point theorem with maximum principle, this paper establishes sufficient and necessary conditions to guarantee the existence of as well as positive solutions for a class of singular boundary value problems on time scales. The results significantly extend and improve many known results for both the continuous case and more general time scales. We illustrate our results by one example.