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正负系数中立型时滞微分方程有界正解的存在性
The Existence of The Bounded Positive Solutions of Neutral Differential Equtions With Positive And Negative Coefficients
【摘要】 考虑正负系数中立型时滞微分方程(x(t)-P(t)x(t-τ))’+Q(t)x(t-σ)-R(t)x(t-γ)=0(*)本文获得了方程(*)存在有界正解的充分必要条件,本文结果回答了文献[1]中的公开问题3。
【Abstract】 Consider the neutral differential equtions with positive and negative coeffic ie nt sWe obtain a necessary and sufficient condition for the existence of bounded positive solutionsof Eq (* ),an open problem in the literature [fi is answered.
【关键词】 正负系数;
中立型时滞微分方程;
正解;
【Key words】 Neutral differential equtions; positie and negative coefficients; positive solutions;
【Key words】 Neutral differential equtions; positie and negative coefficients; positive solutions;
- 【文献出处】 娄底师专学报 ,JOURNAL OF LOUDI TEACHERS COLLEGE , 编辑部邮箱 ,1998年02期
- 【分类号】O175
- 【被引频次】1
- 【下载频次】16