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  • 标题:Necessary and Sufficient Conditions for the Existence of Positive Solution for Singular Boundary Value Problems on Time Scales
  • 本地全文:下载
  • 作者:Meiqiang Feng ; Xuemei Zhang ; Xianggui Li
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2009
  • 卷号:2009
  • 期号:1
  • 页码:737461
  • DOI:10.1155/2009/737461
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 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 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.
  • 关键词:Differential Equation ; Functional Equation ; Maximum Principle ; Difference Equation ; Population Model
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