Affiliation:
1. Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
2. School of Science, Hohai University, Nanjing, Jiangsu 210098, China
Abstract
We study the existence of positive solutions to the system of nonlinear first-order periodic boundary value problems on time scalesxΔ(t)+P(t)x(σ(t))=F(t,x(σ(t))),t∈[0,T]T,x(0)=x(σ(T)), by using a well-known fixed point theorem in cones. Moreover, we characterize the eigenvalue intervals forxΔ(t)+P(t)x(σ(t))=λH(t)G(x(σ(t))),t∈[0,T]T,x(0)=x(σ(T)).
Funder
National Natural Science Foundation of China