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论文摘要

一类带积分边界条件的三阶边值问题正解的存在唯一性

The existence and uniqueness of positive solutions for a class of third-order boundary value problems with integral boundary conditions

作者:何燕琴(西北师范大学数学与统计学院);韩晓玲(西北师范大学数学与统计学院)

Author:He Yan_Qin(College of Mathematics and Statistics, Northwest Nomal University);Han Xiao-Ling(College of Mathematics and Statistics, Northwest Nomal University)

收稿日期:2019-10-09          年卷(期)页码:2020,57(5):852-856

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:三阶边值问题;积分边界条件;正解;存在唯一性;混合单调算子

Key words:Third-order boundary value problem; Integral boundary condition; Positive solution; Existence and uniqueness; Mixed monotone operator

基金项目:国家自然科学基金(11561063)

中文摘要

本文运用混合单调算子方法研究了一类带积分边界条件的三阶边值问题正解的存在唯一性.

英文摘要

In this paper, by using the mixed monotone operator method, we study the existence and uniqueness of positive solutions for the boundary value problem of a class of third-order nonlinear differential equations.

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