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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
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摘要 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.
机构地区 延边大学
出处 《哈尔滨师范大学自然科学学报》 CAS 2006年第2期31-33,共3页 Natural Science Journal of Harbin Normal University
关键词 偏差分方程 正则解 振动性 特征方程 Partial difference equation Proper solution Oscillation Characteristic equation
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参考文献6

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