Positive Solutions to Singular Super-Linear Boundary Value Problems
Received:May 17, 2005  
Key Words: singular boundary value problem   positive solutions   sufficient condition   necessary condition.  
Fund Project:the National Natural Science of China (10471075), the Doctoral Program Foundation of Education Ministry of China(20050446001)
Author NameAffiliation
Zhao Zeng-qin Department of Mathematics, Qufu Normal University, Shandong 273165, China 
Wang Xin-hua Department of Mathematics, Qufu Normal University, Shandong 273165, China 
Hits: 3049
Download times: 1224
Abstract:
      This paper investigates a class of singular superlinear boundary value problems, we obtain the necessary conditions and the sufficient conditions for the existence of $C^1[0,1]$ positive solutions, and obtain that $C^1[0,1]$ positive solutions of the problems are incomparable. Lastly, we give an example satisfying the conditions.
Citation:
DOI:10.3770/j.issn:1000-341X.2006.04.021
View Full Text  View/Add Comment