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A version of the Dynamical Systems Method (DSM) for solving ill-posed nonlinear equations with monotone and locally Hoelder continuous operators is studied in this paper. A discrepancy principle is proposed and justified under natural and weak assumptions. The only smoothness assumption on F is the local Hoelder continuity of order α>1/2.

Dynamical Systems Method for solving nonlinear equations with locally Holder continuous monotone operators