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Multiple positive solutions to third-order three-point singular semipositone boundary value problem
By using a specially constructed cone and the fixed point index theory, this
paper investigates the existence of multiple positive solutions for the
third-order three-point singular semipositone BVP: \begin{cases} x'''(t)-\ld
f(t,x) =0, &t\in(0,1); [.3pc] x(0)=x'(\eta)=x''(1)=0, & \end{cases} where
, the non-linear term f(t,x):(0,1)\times(0,+\i)\to (-\i,+\i) is
continuous and may be singular at , , and , also may be negative
for some values of and , \ld is a positive parameter.Comment: 14 page
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