In this paper, we consider the existence of positive solutions to the boundary-value problems {(q(t)φ(u'))' + λr(t)f(u) = 0, t ∈(a, b)u(a) = u(b) = 0, where φ(x) = |a|~p-2x, p > 1, q. r: [a, b] → [O, ∞), f : (O, ∞) → R may have negative values and may become infinite at O, and λ is a positive parameter.
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机译：本文考虑边值问题{（q（t）φ（u'））'+λr（t）f（u）= 0，t∈（a，b）u的正解的存在（a）= u（b）= 0，其中φ（x）= | a |〜p-2x，p> 1，q。 r：[a，b]→[O，∞），f：（O，∞）→R可能具有负值，并且在O处可能无穷大，而λ是正参数。
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