一类离散型Bellman-Bihari不等式及其应用

A Class of Discrete Type Bellman-Bihari Inequalities and Their Application

中文关键词:  非线性  离散型不等式  渐近性

英文关键词:nonlinear  discrete inequality  asymptotic property.

中文摘要:

      本文建立了一类新的更为广泛的非线性离散不等式.所得结果改进并推广了文中的有关结果.并利用所得结果考虑了差分方程Δ²u(n)+f(n,u(n),Δu(n))=0解的渐进性质,其中(n,u,ν)∈N×R×R,N=1,2,….

英文摘要:

      Some new Bellman-Bihari inequalities of discrete type are established, which generalize and improve some known results on the solutions of the difference equation Δ²u(n)+f(n,u(n),Δu(n))= 0 where (n,u,ν)∈ N×R×R, N = 1,2,….