Necessary and Sufficient Conditions for the Existence of Positive Solution for Singular Boundary Value Problems on Time Scales

被引：0
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作者：
Meiqiang Feng
Xuemei Zhang
Xianggui Li
Weigao Ge
机构：
[1] Beijing Information Science & Technology University,School of Science
[2] North China Electric Power University,Department of Mathematics and Physics
[3] Beijing Institute of Technology,Department of Applied Mathematics
来源：
Advances in Difference Equations | / 2009卷
关键词：
Differential Equation; Functional Equation; Maximum Principle; Difference Equation; Population Model;
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摘要：
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 [inline-graphic not available: see fulltext] as well as [inline-graphic not available: see fulltext] 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.
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