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Keywords:
positive solution; nonlinear boundary conditions; third order problem; cone; fixed point index
positive solution; nonlinear boundary conditions; third order problem; cone; fixed point index
Summary:
Utilizing the theory of fixed point index for compact maps, we establish new results on the existence of positive solutions for a certain third order boundary value problem. The boundary conditions that we study are of nonlocal type, involve Stieltjes integrals and are allowed to be nonlinear.
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