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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
【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。
【Abstract】 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;
【Key words】 higher order differential equations; neutral; positive solution; existence;
【Key words】 higher order differential equations; neutral; positive solution; existence;
- 【文献出处】 河北建筑科技学院学报 ,Journal of Hebei Institute of Architectural Science and Technology , 编辑部邮箱 ,2004年01期
- 【分类号】O175
- 【下载频次】25