吉林大学学报(理学版)Issue(1):1-4,4.DOI:10.13413/j.cnki.jdxblxb.2015.01.01
非线性分数阶微分方程特征值问题正解的存在性
Existence of Positive Solutions for Nonlinear Fractional Eigenvalue Problem
摘要
Abstract
We used the fixed point theorem of cone expansion and cone compression to study the eigenvalue problem of nonlinear fractional differential equation so as to obtain the existence of positive solutions.The results show that for a type of α-order fractional differential equation eigenvalue problem (3 <α≤ 4 ),the differential equation has at least one positive solution when eigenvalue parameter belongs to an open interval.关键词
分数阶微分方程/正解/特征值问题/不动点定理Key words
fractional differential equation/positive solution/eigenvalue problem/fixed point theorem分类
数理科学引用本文复制引用
代群,刘素莉,李辉来..非线性分数阶微分方程特征值问题正解的存在性[J].吉林大学学报(理学版),2015,(1):1-4,4.基金项目
国家自然科学基金(批准号:11326078) (批准号:11326078)