摘要
利用数列频率测度的概念及其性质,讨论了一类带有正负系数的非线性偏差分方程,得到了此类偏差分方程的频密振动性准则.仅利用方程系数数列的水平集"频率测度"的概念,给出了偏差分方程解的频密振动的充分条件,并且准确刻画了解的振动频率.
By employing the concept and the properties of frequency measures of sequences,the frequently oscillatory behavior of the solutions for the nonlinear partial difference equation with positive and negative coefficients is discussed.Some new oscillatory criteria are established.Only using the concept of ＂frequency measure＂ of the level sets of the involved parameter sequences in equation,the sufficient conditions of the solutions to be frequently oscillatory are presented,thus how frequent the solutions oscillate is well described.
出处
《延边大学学报（自然科学版）》
CAS
2012年第1期20-24,共5页
Journal of Yanbian University（Natural Science Edition）
基金
国家自然科学基金资助项目(11161049)
吉林省自然科学基金资助项目(201215239)
延边大学科研项目(延大研科合字2011第7号)
关键词
偏差分方程
频密测度
频密振动性
partial difference equation
frequency measure
frequently oscillatory criteria
