具有连续变量的二阶非线性中立型差分方程的振动性研究  

Oscillation of the Second Order Nonlinear Neutral Difference Equations with Continuous Arguments

作　　者：郑允利[1] 

机构地区：[1]徐州生物工程职业技术学院(筹)基础部,江苏徐州221006

出　　处：《长江大学学报（自科版）（上旬）》2010年第3期154-156,共3页JOURNAL OF YANGTZE UNIVERSITY (NATURAL SCIENCE EDITION) SCI ＆ ENG

摘　　要：研究了一类具有连续变量的二阶非线性中立型差分方程:Δ2τ(x(t)+p(t)x(t-τ))+q(t)f(x(t-σ))=0,t≥t0>0的振动性及差分算子的振动性问题。其中σ,τ>0,p(t),q(t)∈C[t0,+∞),q(t)≥0,且q(t)不最终为零。得到了该类方程所有解振动和差分算子振动的几个充分条件,所得结论推广和改进了已有文献中的相应结果。The oscillation criteria of a certain type of the second nonlinear neutral difference equations Δ2τ(x(t)+p(t)x(t-τ))+q(t)f(x(t-σ))=0,t≥t0>0 with continuous arguments were studied.some sufficient conditions are obtained for oscillation of the solutions and the difference operator by the method of analysis.Some results given are generalized and improved.

关 键 词：中立型差分方程 振动性 连续变量 

分 类 号：O175.7[理学—数学]