节点文献

一阶时标动态方程周期边值问题的正解(英文)

Positive Solutions for First-order PBVPs on Time Scales

  • 推荐 CAJ下载
  • PDF下载
  • 不支持迅雷等下载工具，请取消加速工具后下载。

【作者】 宋常修；

【Author】 SONG Chang-xiu (School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China)

【机构】 School of Applied Mathematics, Guangdong University of Technology；

【摘要】 In this paper, the author studies the following nonlinear dynamic equation {x△(t) = r(t)x(σ(t)) + f(t, x(σ(t))), t ∈ [0, T ], x(0) = x(σ(T )). By applying and improving the generalized form of Leggett-Williams fixed point theorem, sufficient conditions are established for the existence of positive solutions.

【Abstract】 In this paper, the author studies the following nonlinear dynamic equation {x△(t) = r(t)x(σ(t)) + f(t, x(σ(t))), t ∈ [0, T ], x(0) = x(σ(T )). By applying and improving the generalized form of Leggett-Williams fixed point theorem, sufficient conditions are established for the existence of positive solutions.

【关键词】 time scale； positive solutions； fixed point；
【Key words】 time scale； positive solutions； fixed point；
【基金】 Supported by the NNSF of China(10871052, 109010600);Supported by the NSF of Guangdong Province(10151009001000032)
  • 【文献出处】 数学季刊 ,Chinese Quarterly Journal of Mathematics , 编辑部邮箱 ,2012年03期
  • 【分类号】O175.8
  • 【被引频次】1
  • 【下载频次】52
打印本页
节点文献中：