Sturm comparison theorem of difference equations

摘要

A Sturm comparison theorem for the difference equation of the form Δ2Un+pnUn+1+∑k=1mpn(k)Uτk(n)=0 has been established, where pn, pn(k) ε R, τk(n) is an integer with limn→∞τk(n) = ∞, k = 1, 2,..., m, n = N, N + 1,... .