Abstract
By a new approach, we present a new existence result of positive solutions to the following Dirichlet boundary value problem, x ″ ( t ) + f ( t , x ( t ) ) = 0 , 0 < t < 1 , x ( 0 ) = 0 = x ( 1 ) It is remarkable that the result of this paper is not obtained by employing the fixed-point theorems in cone and the method of the lower and upper functions. Our nonlinearity may change sign and be singular at t = 0, 1, χ = 0.
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