吉林大学学报（理学版）Issue(6)：1145-1150,6.DOI:10.13413/j.cnki.jdxblxb.2014.06.07
一类半无穷区间上分数阶非线性微分方程边值问题多个正解的存在性
Existence of Multiple Positive Solutions for a Class of the Boundary Value Problems of Fractional Order Nonlinear Differential Equation on the Half Line
摘要
Abstract
We studied a class of the boundary value problems for fractional order nonlinear differential equation with Caputo derivative on the half line.Based on the Schauder fixed point theorem and the Leggett-Williams fixed point theorem,the existence theorems of at least one positive solution and at least three positive solutions have been established,respectively for this class of the boundary value problems.关键词
Caputo 导数/正解/不动点定理/半无穷区间Key words
Caputo derivative/positive solutions/fixed point theorems/half infinite interval分类
数理科学引用本文复制引用
张海斌,贾梅,陈强..一类半无穷区间上分数阶非线性微分方程边值问题多个正解的存在性[J].吉林大学学报（理学版）,2014,(6):1145-1150,6.基金项目
国家自然科学基金(批准号:11171220)和沪江基金(批准号:B14005) （批准号:11171220）
