半线性三阶差分方程边值问题的非负解

Nonnegative Solutions for Semilinear Third-Order Difference Equation Boundary Value Problems

该文研究了一类半线性三阶差分方程边值问题△３ｕ（ｔ）＋ａ（ｔ）ｆ（ｕ（ｔ））＝０．２≤Ｔ≤Ｔ＋２ｕ（０）＝ｕ（１）＝ｕ（Ｔ＋３）＝０的非负解，得到了该方程在锥与环形域相交部分非负解的存在性，包含、改近和推广了文［３．４，５．６］的主要结果．

Nonnegative solutions that lie in a cone intersected with an annular type region are obtained for the third-order semilinear difference equation △3u(t) + a(t)f(u(t)) 0, 2≤T≤T + 2, satisfying the boundary conditions u(0) u(1) = u(T+ 3) = 0, which include and improve the main results of [3-6].