On 2n-th-Order Eigenvalue Problem

摘要

@@In [1], Lu discussed the existence of positive solution for the BVP rnx(4)(t) = λf(t, x(t)), (1)x(0) = x(1) = x"(0) = x"(1) = 0, (2)rnwhere f: [0, 1] × [0, ∞) → R is continuous and satisfies the following conditions (H1) There exists an M ＞ 0 such that rnf(t,x)≥-M for (t, x) ∈ [0,1] × [0,∞).rn(H2) limx→∞ f(t, x)/x = ∞