科研之友
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摘要
We study the existence of multiple positive solutions for nth-order multipoint boundary value problem. u((n)) (t) + a (t) f (u(t)) = 0, t is an element of (0, 1), u((j-1))(0) = 0(j = 1, 2,..., n - 1), u(1) = Sigma(m)(i=1) alpha(i)u(eta(i) ), where n >= 2, 0 < eta(1) < eta(2) < ... < eta(m) < 1, alpha(i) > 0, i = 1, 2,..., m. We obtained the existence of multiple positive solutions by applying the fixed point theorems of cone expansion and compression of norm type and Leggett-Williams fixed-point theorem. The results obtained in this paper are different from those in the literature.
