EXISTENCE AND UNIQUENESS OF MONOTONE POSITIVE SOLUTIONS FOR FRACTIONAL HIGHER-ORDER BVPS

被引：0

作者：

Zhou, Mi ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2020年 / 50卷 / 02期

关键词：

monotone positive solution; Green function; cones; fixed point theorem; BOUNDARY-VALUE-PROBLEMS; FIXED-POINT THEOREMS; DIFFERENTIAL-EQUATIONS; OPERATORS;

D O I：

10.1216/rmj.2020.50.733

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the existence and uniqueness of monotone positive solutions for a class of higher-order nonlinear fractional differential equations infinite-point boundary value problems (for short, BVPs) on cones. The existence and uniqueness of solutions are obtained via applying the properties of the Green function and a fixed point theorem. Our analysis is based on the operator equation T omega + S omega = omega on an ordered Banach space. Finally, a example is given to illustrate our results.

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页码：733 / 745

页数：13

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