Affiliation:
1. Personnel Office, China University of Geosciences, Beijing 100083, China
2. School of Science, China University of Geosciences, Beijing 100083, China
Abstract
We firstly establish some new theorems on time scales, and then, by employing them together with a new comparison result and the monotone iterative technique, we show the existence of extremal solutions to the following nabla integrodifferential periodic boundary value problem:u∇(t)=f(t,u,∫0tg(t,s)∇s), t∈[0,a]T, u(0)=u(ρ(a)), whereTis a time scale.
Funder
Fundamental Research Funds for the Central Universities