Existence and uniqueness of positive solutions for Neumann problems of second order impulsive differential equations

This work is concerned with the existence and uniqueness of positive solutions for Neumann boundary value problems of second order impulsive differential equations. The result is obtained by using a fixed point theorem of generalized concave operators

Existence and nonexistence results for second-order Neumann boundary value problem

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