The existence and nonexistence of positive solutions to a discrete fractional boundary value problem with a parameter

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]N, 1

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Bibliographic Details
Published in:Applied mathematics letters 2014-10, Vol.36, p.1-6
Main Authors: Han, Zhen-Lai, Pan, Yuan-Yuan, Yang, Dian-Wu
Format: Article
Language:English
Subjects:
Boundary value problem
Boundary value problems
Differential equations
Discrete fractional calculus
Eigenvalue problem
Eigenvalues
Existence of solutions
Functions (mathematics)
Guo–Krasnosel’skii theorem
Intervals
Mathematical analysis
Nonlinearity
Real numbers
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Summary: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]N, 1
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2014.04.015