The singular two-point boundary value problemis considered under some conditions concerning the first eigenvalue corresponding to the relevant linear problem, where h is allowed to be singular at both t = 0 and t = 1. Moreover, f : (−∞, +∞) → (−∞, +∞) is a sign-changing function and not necessarily bounded from below. By computing the topological degree of an completely continuous field, the existence results of nontrivial solutions are established.
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