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高阶具非线性中立项时滞微分方程正解的存在性
EXISTENCE OF POSITIVE SOLUTIONS FOR THE HIGHER ORDER DELAY DIFFERENTIAL EQUATIONS WITH A NONLINEAR NEUTRAL TERM
【摘要】 利用控制收敛定理和压缩映射原理研究了一类具非线性中立项时滞微分方程有界正解的存在性,获得了其存在有界正解的充分条件.
【Abstract】 Sufficient conditions are obtained for the existence of bounded positive solutions of the n-order delay differential equations with nonlinear neutral term,on the basis of Lebesgue′s monotone convergence theorem and Banach contraction theorem.
【关键词】 中立型时滞微分方程;
非线性中立项;
正解;
振动性;
【Key words】 neutral delay differential equation; nonlinear neutral term; positive solutions; oscillation;
【Key words】 neutral delay differential equation; nonlinear neutral term; positive solutions; oscillation;
【基金】 湖南省自然科学基金资助项目(04JJY3001)
- 【文献出处】 华南师范大学学报(自然科学版) ,Journal of South China Normal University(Natural Science) , 编辑部邮箱 ,2005年04期
- 【分类号】O175.1
- 【被引频次】3
- 【下载频次】47