Existence and nonexistence results for second-order Neumann boundary value problem
Journal Title: Surveys in Mathematics and its Applications - Year 2009, Vol 4, Issue 0
Abstract
In this paper some existence and nonexistence results for positive solutions are obtained for second-order boundary value problem <CENTER>-u"+Mu=f(t,u), t∈(0,1) </CENTER>with Neumann boundary conditions <CENTER>u'(0)=u'(1)=0, </CENTER>where M>0, f∈<B>C</B>([0,1]×<B>R</B><SUP>+</SUP>, <B>R</B><SUP>+</SUP>). By making use of fixed point index theory in cones, some new results are obtained.
Authors and Affiliations
Feng Wang, Yujun Cui, Fang Zhang
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