Department of Mathematics, Ege University, 35100 Bornova, Izmir, Turkey. E-mail: f.serap.topal@ege.edu.tr
AMS subject classification: 39A10.
This paper is concerned with the problem of existence of a solution for the three point boundary value problem −y∆∇(t) = f(t, y(t),y∆(t)) + h(t), with y(ρ(a)) = 0, and y(σ (b)) −δy(η) = 0, where f is a function satisfying Carathéodory's conditions.
Dynamic equations, Carathéodory's conditions, time scales
