期刊导航

论文摘要

一类高分数阶微分方程积分边值问题的正解

Positive solution to integral boundary value problem for a class of higher fractional differential equation

作者:张海燕(宿州学院数学与统计学院);李耀红(宿州学院数学与统计学院)

Author:ZHANG Hai-Yan(School of Mathematics and Statistics, Suzhou University);LI Yao-Hong(School of Mathematics and Statistics, Suzhou University)

收稿日期:2015-03-15          年卷(期)页码:2016,53(3):512-517

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:正解; 积分边值问题; 分数阶微分方程; 不动点定理

Key words:Positive solution; Integral boundary value problem; Fractional differential equation; Fixed point theory

基金项目:省自然科学基金

中文摘要

利用锥拉伸和压缩不动点定理,研究了一类高分数阶微分方程积分边值问题, 获得了相应的格林函数及其性质,同时给出了方程至少有一个和至少有两个正解的充分条件

英文摘要

By using fixed point theory of cone expansion and compression of norm type, a class of boundary value problem for higher fractional differential equation with integral conditions is investigated. The relevant Green function and its property is obtained. At the same time,some sufficient conditions on the existence of at least one and two positive solutions are established.

关闭

Copyright © 2020四川大学期刊社 版权所有.

地址:成都市一环路南一段24号

邮编:610065