  This paper is devoted to solving a multidimensional backward stochastic
differential equation with a general time interval, where the generator is
uniformly continuous in $(y,z)$ non-uniformly with respect to $t$. By
establishing some results on deterministic backward differential equations with
general time intervals, and by virtue of Girsanov's theorem and convolution
technique, we establish a new existence and uniqueness result for solutions of
this kind of backward stochastic differential equations, which extends the
results of Hamadene (2003) and Fan, Jiang, Tian (2011) to the general time
interval case.
