Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4618383 | Journal of Mathematical Analysis and Applications | 2011 | 10 Pages |
Abstract
In this paper, we consider the nonlinear discrete boundary value problem{−Δ[p(t−1)Δu(t−1)]+q(t)u(t)=λf(t,u(t)),t∈Z[1,T],u(0)=u(T),p(0)Δu(0)=p(T)Δu(T), where λ is a positive parameter. By using the fixed point index theory, the criteria of the existence, multiplicity and nonexistence of positive solutions are established in terms of different values of λ.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tieshan He, Yuantong Xu,