时滞偏差分方程解振动的充分必要条件

NECESSARY AND SUFFICIENT CONDITIONS FOR THE OSCILLATION OF DELAY PARTIAL DIFFERENCE EQUATIONS

本文得到了具有多个时滞偏差分方程uAm+1,n+Am,n+1-pAmn+∑ui=1qiAm-ki,n-li=0的正则解振动的充分必要条件.这里ki,li均为正整数,p>0,qi≥0为实数,i=1,2,…,u.

Necessary and sufficient conditions for the oscillation of delay partial difference equations Am＋1,n＋Am,n＋1-pAmn＋u↑∑↑i=1qiAm-ki,n-li=0 are obtained,where li,kiare positive integers, and p〉0,qi≥0are real numbers,i=1,2,…,u.