Existence Results of Positive Solutions for Sublinear Semipositone Boundary Value Problems
Received:December 14, 1999  
Key Words: Sturm-Liouville boundary value problem   sublinear   completely continuous operator   cone   existence of positive solution.  
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Author NameAffiliation
MA Yu-hong Editorial Department of the University Journal
Northwest Normal University
Lanzhou
China 
MA Ru-yun College of Mathematics and Information Science
China 
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Abstract:
      We consider the existence of positive solutions for boundary value problems (p(t)u′)′+λf(t,u)=0, r<t<R;au(r)-bp(r)u′(r)=0;cu(R)+dp(R)u′(R)=0, where we allow that nonlinearity f(t,u) be negative. If f is sublinear at u=+∞ and unbounded, there exists a λ*>0, the above boundary value problems has a positive solution for every λ>λ*.
Citation:
DOI:10.3770/j.issn:1000-341X.2002.04.020
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