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Positive solutions of nonlocal boundary value problems with singularities

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  • In this note we discuss the existence of positive solutions for some nonlocal boundary value problem where the boundary conditions involve linear functionals on the space $C[0,1]$ and the involved nonlinearity might be singular. Our main ingredient is the theory of fixed point index.
    Mathematics Subject Classification: Primary: 34B18; Secondary: 34B10, 47H10, 47H30.

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