摘要
利用数列的频率测度的概念及其性质,讨论了一类中立型差分方程的解的频率振动性,得到了解的正振动与负振动的振动准则.在此基础上,指出了文献[3]中的引理5与定理3的错误,并且给出了对应的正确结论及严格证明.
By employing the definition and properties of frequency measures of sequences,the frequently oscillatory solutions to a class of neutral difference equations are considered.Some new oscillatory criteria of positive oscillatory and negative oscillatory solutions are established.Based on these results,we point out the mistakes in Lemma 5 and Theorem 3 in [3],and give the correspondence correct results and their proofs.
出处
《延边大学学报（自然科学版）》
CAS
2011年第1期42-45,共4页
Journal of Yanbian University（Natural Science Edition）
关键词
中立型差分方程
频率测度
频率振动性
neutral difference equation
frequency measure
frequently oscillatory sequence
