一种高阶中立型方程正解的存在性  

Exisitense of positive solutions for a kind higher order neutral differential equation

作　　者：冀铁果[1] 张艳科[1] 姬红艳[1] 王海雁[1] 

机构地区：[1]河北工程学院,河北邯郸056021

出　　处：《河北建筑科技学院学报》2004年第1期110-112,共3页Journal of Hebei Institute of Architectural Science & Technology

摘　　要：本文为了研究具有正、负系数的高阶中立型微分方程(x(t)-C(t)x(t-γ))(n)+P(t)x(t-τ)-Q(t)x(t-δ)=0正解的存在性,通过构造压缩算子,利用压缩映像原理证明了正解的存在性,找出了正解存在的充分条件。This article discusses the existence of positive solution of the higher order neutral differential equations with positive and negative coefficients,and (x(t)-C(t)x(t-γ))(n)+P(t)x(t-τ)-Q(t)x(t-δ)=0 the compression operator are structured . The deflation principle is applied to prove the existence of the positive solution, and the sufficient conditions are found.

关 键 词：高阶微分方程 中立型 正解 存在性 

分 类 号：O175[理学—数学]