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二阶时滞微分方程边值问题的正解
Positive Solutions for Boundary Value Problems of Second-Order Delay Differential Equations
【摘要】 本文利用锥映射不动点指数定理研究了二阶时滞微分方程边值问题正解的存在性,其中τ>0.推广了Liu和Li关于常微分方程边值问题的工作.
【Abstract】 We use a fixed point index theorem in cones to study the existence of positive solutions for boundary value problem of the second-order delay differential equation of the form where T > 0. The result here is a generalization of what Liu and Li did for ordinary differential equations.
【关键词】 时滞微分方程;
边值问题;
正解;
【Key words】 Delay differential equation; Boundary value problem; Positive solution;
【Key words】 Delay differential equation; Boundary value problem; Positive solution;
【基金】 国家自然科学基金(10171010)
- 【文献出处】 数学学报 ,Acta Mathematica Sinica , 编辑部邮箱 ,2003年04期
- 【分类号】O175.8
- 【被引频次】23
- 【下载频次】268