Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707934 | Applied Mathematics Letters | 2014 | 6 Pages |
Abstract
In this paper, we study the existence and nonexistence of positive solutions for the boundary value problem with a parameter {−Δνy(t)=λf(t+ν−1,y(t+ν−1)),y(ν−2)=y(ν+b+1)=0, where t∈[0,b+1]Nt∈[0,b+1]N, 1<ν≤21<ν≤2 is a real number, f:[ν−1,ν+b]Nν−1×R→(0,+∞)f:[ν−1,ν+b]Nν−1×R→(0,+∞) is a continuous function, b≥2b≥2 is an integer, λλ is a parameter. The eigenvalue intervals of the nonlinear fractional differential equation boundary value problem are considered by the properties of the Green function and Guo–Krasnosel’skii fixed point theorem on cones, some sufficient conditions of the nonexistence of positive solutions for the boundary value problem are established. As applications, we give some examples to illustrate the main results.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Zhen-Lai Han, Yuan-Yuan Pan, Dian-Wu Yang,