一类三阶边值问题正解的存在性和唯一性  

Existence and Uniqueness of Positive Solution for a Third-Order Boundary Value Problems

作　　者：武晨[1] WU Chen(Branch of Nanjing Jiangsu Union Technical Institute, Nanjing 210019, China)

机构地区：[1]江苏联合职业技术学院南京分院,江苏南京210019

出　　处：《南通大学学报（自然科学版）》2017年第2期87-89,94,共4页Journal of Nantong University(Natural Science Edition)　

摘　　要：利用Banach空间中的压缩映象原理,讨论了一类三阶边值问题正解的存在性和唯一性,得到了该边值问题正解存在唯一性的充分条件.The existence and uniqueness of positive solution for a third-order boundary value problem were considered with the help of the Banach contraction mapping principle, and enough conditions for the existence and uniqueness of positive solutions were obtained.

关 键 词：压缩映象原理 边值问题 正解 存在性 唯一性 

分 类 号：O175.14[理学—数学]