非线性三阶周期边值问题的正解  

Positive Solutions of Nonlinear Third-order Periodic Boundary Value Problems

作　　者：姚庆六[1] 

机构地区：[1]南京财经大学应用数学系,江苏南京210003

出　　处：《数学物理学报（A辑）》2010年第6期1495-1502,共8页Acta Mathematica Scientia

摘　　要：考察了非线性三阶周期边值问题的正解.在适当的变换下此问题被转化为一个积分方程.利用锥上的Guo-Lakshmikantham不动点指数定理建立了单个或多重正解的存在性.The positive solutions for a nonlinear third-order periodic boundary value problem are considered.By making use of a suitable transformation the problem is transfered into an integral equation.By applying the Guo-Lakshmikantham fixed point index theorem on cone, the existence of single or multiple positive solutions is established.

关 键 词：周期边值问题 正解 存在性 多解性 

分 类 号：O175.8[理学—数学]