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一类二阶非线性差分方程的振动性
引用本文:白锦东. 一类二阶非线性差分方程的振动性[J]. 中国海洋大学学报(自然科学版), 1997, 0(3)
作者姓名:白锦东
作者单位:青岛海洋大学应用数学系
摘    要:讨论二阶非线性差分方程的振动性,在文献[1~11]中要求方程中的系数是非负数。本文对具有振动系数的方程给出了一些新的振动性判定定理,这些结果是文献[12]的结果的补充

关 键 词:二阶非线性差分方程;次线性;超线性;渐近线性;振动性

OSCILLATION OF A SECOND ORDER NONLINEAR DIFFERENCE EQUATION
Bai Jindong. OSCILLATION OF A SECOND ORDER NONLINEAR DIFFERENCE EQUATION[J]. Periodical of Ocean University of China, 1997, 0(3)
Authors:Bai Jindong
Abstract:In this paper, we study the oscillaory behaviour of solutions of the second order nonlinear difference equations with oscillating coefficients. In the known results , one usually assumes the coefficients in the equations are nonnegative numbers. In this paper, we obtain some new sufficient conditions for oscillations of the equations with oscillating coefficients. The main results in this paper are a supplement to the results in .
Keywords:second order nonlinear difference equation  sublinear  superlinear  asymptotic linear  oscillatory
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