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三阶泛函微分方程非振动解的渐近性
引用本文:侯晓磊,王颺. 三阶泛函微分方程非振动解的渐近性[J]. 太原师范学院学报(自然科学版), 2012, 0(4): 117-119
作者姓名:侯晓磊  王颺
作者单位:山西大学数学科学学院
摘    要:
考虑三阶非线性泛函微分方程(r2(t)(r1(t)x′(t))′)′+p(t)x′(t)+q(t)F(x(σ(t)),x′(σ(t)),(r2(t)x′(r(t)))′)=0得到了方程的非振动解x(t)满足limt→∞x(t)=0的充分条件.

关 键 词:三阶  非线性  非振动解  渐进性

Asymptotical Property of Non-Oscillatory Solution of Third-Order Functional Differential Qquations
Hou Xiaolei Wang Yang. Asymptotical Property of Non-Oscillatory Solution of Third-Order Functional Differential Qquations[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2012, 0(4): 117-119
Authors:Hou Xiaolei Wang Yang
Affiliation:Hou Xiaolei Wang Yang(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China)
Abstract:
Consider the third order nonlinear functional differential equation (r2(t)(r1(t)x′(t))′)′+p(t)x′(t)+q(t)F(x(σ(t)),x′(σ(t)),(r2(t)x′(r(t)))′)=0Sufficient conditions are obtained for the non-oscillatory solution x(t) to satisfying limt→∞x(t)=0.
Keywords:third order  nonlinear  non-oscillatory solution  asymptotical property
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