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具连续变量非线性差分方程的振动性
引用本文:欧阳瑞,钟晓珠,弓晓慧,贾建强,韩红强.具连续变量非线性差分方程的振动性[J].四川理工学院学报(自然科学版),2009,22(2).
作者姓名:欧阳瑞  钟晓珠  弓晓慧  贾建强  韩红强
作者单位:燕山大学理学院,河北,秦皇岛,066004
摘    要:文章通过时滞微分方程和离散型差分方程的振动性,研究了一类具有连续变量非线性差分方程Δy(t)-p(t)y(t-τ)]+sum from i=1 to m qi(t)fi(y(t-σi))=0的振动性,得出了方程依赖于时滞差分方程和离散型差分方程振动的几个充分条件。

关 键 词:连续变量  差分方程  振动性  非线性

Oscillation of Non-linear Difference Equations with Continuous Arguments
OUYANG Rui,ZHONG Xiao-zhu,GONG Xiao-hui,JIA Jian-qiang,HAN Hong-qiang.Oscillation of Non-linear Difference Equations with Continuous Arguments[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2009,22(2).
Authors:OUYANG Rui  ZHONG Xiao-zhu  GONG Xiao-hui  JIA Jian-qiang  HAN Hong-qiang
Institution:School of Science;Yanshan University;Qinhuangdao 066004;China
Abstract:This paper was used of oscillations of delay differential equation and difference equation,researched the oscillation criteria of non-linera difference equation with continuous arguments such as Δy(t)-p(t)y(t-τ)]+sum from i=1 to m qi(t)fi(y(t-σi))=0,established some sufficiency conditions of oscillation for the equation which depend on delay differential equation and difference equation.
Keywords:continuous arguments  differerce equation  oscillation  non-linear  
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