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Davydov, A.A. & Shutkina, T.S. (2011). Uniqueness of a cycle with discounting that is optimal with respect to the average time profit. Proceedings of the Institute of Mathematics and Mechanics UrB RAS 17 (2), 80-87.

Davydov, A.A. & Shutkina, T.S. (2010). Time average optimization of cycle process with profit and effort discounts. Russian Journal of Nonlinear Dynamics 6 (1), 151-158. 10.20537 / nd1001011.