西北师范大学学报(自然科学版)2012,Vol.48Issue(6):9-12,4.
一类三阶三点非齐次边值问题的两个正解
Two positive solutions for third-order three-point nonhomogeneous boundary value problem
摘要
Abstract
The third-order three-point nonhomogeneous boundary value problem {u′″(t) +a(t)f(u(t)) =0,0 < t < 1 u(0) =u′(0) =0,u′(1)-αu'(η) =λ is considered in this paper,where η ∈ (0,1),α ∈ [0,1/η) and λ ∈ (0,+ ∞) are some parameters.By using Guo-Krasnosel'skii fixed-point theorem,the new existence results of two positive solutions are obtained.关键词
三阶三点边值问题/不动点定理/正解Key words
third-order three-point boundary value problem/ fixed-point theorem/ positive solutions分类
数理科学引用本文复制引用
吴红萍..一类三阶三点非齐次边值问题的两个正解[J].西北师范大学学报(自然科学版),2012,48(6):9-12,4.基金项目
国家自然科学基金资助项目(11101334) (11101334)