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二阶非线性时滞差分方程解的振动性 被引量:3

Oscillation Criteria for Second-Order Nonlinear Delay Difference Equations
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摘要 研究了二阶非线性时滞差分方程△(an(△(xn+pnxn-τ))^γ)+bn(△(xn+pnxn-τ))^γ+f(n,xn-σ)=0给出方程振动的充分条件,推广和改进了中立时滞差分方程的许多结果. This paper mainly studied the oscillation criteria for the second-order nonlinear neutral delay difference equation△(an(△(xn+pnxn-τ))^γ)+bn(△(xn+pnxn-τ))^γ+f(n,xn-σ)=0meanwhile, we acquired some sufficient conditions for the oscillation of the equation, which has improved and generalized the main results of neutral delay difference equation.
出处 《数学的实践与认识》 CSCD 北大核心 2011年第24期188-193,共6页 Mathematics in Practice and Theory
基金 国家高等学校博士点科研基金(20103705110003) 山东省自然科学基金(ZR2009AM011)
关键词 振动性 二阶 差分方程 oscillation second-order difference equations
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