摘要
利用数列的频率测度的概念及其性质,讨论一类带有正负系数的非线性偏差分方程,得到此类偏差分方程的ω度频密振动性准则.利用方程的系数数列的水平集的"频率测度"的概念,给出此类偏差分方程的解的ω度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 ω degree 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 ω degree frequent oscillatory are presented,thus how frequent the solutions oscillate is well described.
出处
《大庆石油学院学报》
CAS
北大核心
2012年第2期109-114,130,共6页
Journal of Daqing Petroleum Institute
基金
国家自然科学基金项目(11161049)
关键词
偏差分方程
频密测度
度频密振动解
partial difference equation
frequency measure
ω degree frequent oscillatory solutions
