Abstract
This paper is devoted to the solvability of Markovian quadratic backward s-tochastic differential equations(BSDEs for short)with bounded terminal conditions.The generator is allowed to have an unbounded sub-quadratic growth in the second unknown variable z.The existence and uniqueness results are given to these BSDEs.As an ap-plication,an existence result is given to a system of coupled forward-backward stochastic differential equations with measurable coefficients.