### LARGE DEVIATION PRINCIPLE FOR STOCHASTIC EQUATIONS WITH LOCAL TIME

**IVAN H. KRYKUN**

*Theory of Stochastic Processes*

*Vol.15 (31), no.2, 2009, pp.140-155*

The large deviation principle for solutions of one-dimensional equations with a local time is proved. The explicit form for the rate function is obtained. We also consider the large deviation principle for solutions of Itô's stochastic equations with discontinuous coefficients.