时滞偏差分方程的振动准则(英文)

Oscillation Criteria of Delay Partial Difference Equations

考虑时滞偏差分方程Am+1,n+Am,n+1-Am,n+∑ from i=1 to u (pi(m,n)Am-ki,n-li)=0,m,n∈N0,其中liminfm,n→∞pi(m,n)=pi∈[0,∞).给出了上述时滞偏差分方程所有解振动的新的充分条件.

Consider the delay partial difference equation Am＋1,n＋Am,n＋1-Am,n＋∑i=1^nPi（m,n）Am-ki,n-1i=0,m,n∈No,where liminfm,n→∞ Pi（m, n） = pi ∈ [0, ∞ ） . Some new sufficient conditions for the oscillation of all solutions of the above equation are established.