系数可变号的非线性偏差分方程的频密振动解
계수가변호적비선성편차분방정적빈밀진동해
Frequently Oscillatory Solutions for a Nonlinear Partial Difference Equation with Variable Coefficients
  • 万方数据
    北华大学学报：自然科学版 북화대학학보：자연과학판
    Journal of Beihua University(Natural Science)
    2011年 6期 632-636 ,共5页

    陶元红%郑菊花

    도원홍%정국화

    偏差分方程%频密测度%频密振动解 偏差分方程%頻密測度%頻密振動解
    편차분방정%빈밀측도%빈밀진동해
    partial difference equation%frequency measure%frequently oscillatory solution
    利用无穷双序列的频密测度概念,讨论了一类系数可变号的非线性偏差分方程的频密振动性.利用方程中系数序列的＂频密测度＂,不仅给出了方程的解频密振动的充分条件,而且指出了解的振动频率.
    이용무궁쌍서렬적빈밀측도개념,토론료일류계수가변호적비선성편차분방정적빈밀진동성.이용방정중계수서렬적＂빈밀측도＂,불부급출료방정적해빈밀진동적충분조건,이차지출료해적진동빈솔.
    By applying the concept and the properties of frequency measures of infinite double sequences,the frequently oscillatory behavior of the solutions for the nonlinear partial difference equation with variable coefficients is discussed.Only using the concept of frequency measure of the level sets of the involved parameter sequences in equation,the sufficient conditions of the frequently oscillatory solutions are presented,thus oscillatory frequent of solutions is well described.
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