1Department of Mathematics, Hunan Normal University, Changsha Hunan 410081, P R China. E-mail: daiqiuyi@yahoo.com.cn
2School of Mathematics and Statistics, The University of New South Wales, Sydney NSW 2052, Australia. E-mail: cct@maths.unsw.edu.au
This article investigates the existence of solutions to boundary value problems (BVPs) involving systems of first-order dynamic equations on time scales subject to two-point boundary conditions. The methods involve novel dynamic inequalities and fixed-point theory to yield new theorems guaranteeing the existence of at least one solution.
Existence of solutions, boundary value problems, dynamic equations, fixed point methods, time scales
