The influence of periodical oscillations of the temperature on extraction and stripping processes in the extraction systems was studied. Two extraction systems were investigated: (1) 6 mol·L-1 NaNO3-Nd(NO3)3-Pr(NO3)3-TBP-kerosene and (2) [Nd(NO3)3·3TBP]-[Pr(NO3)3·3TBP]-kerosene-0.1 mol·L-1 HNO3. Mathematical modeling of the nonstationary membrane extraction has been enhanced by including the dependence of the extraction rate constants on temperature. The values of activation energy for direct and reverse extraction and stripping reactions of Pr and Nd were calculated from experimental temporal dependencies of metal concentration and temperature by solving the reverse kinetics problem using the proposed mathematical model. A series of experiments with periodical oscillations of the temperature on the extraction system for the separation of rare earth elements (REE) using bulk liquid membrane between two extractors were performed. The mathematical model adequately describes the experimental data. The optimization of the extraction process for separation of REE by liquid membrane, under the influence of periodical oscillation of the temperature, was made based on the extraction rate constants and activation energies. The optimal conditions of separation by liquid membrane were found: frequency and amplitude of thermal oscillations, liquid membrane flow rate, and optimal ratio between organic and aqueous phase in extractors. The influence of periodical oscillations of the temperature on extraction and stripping processes in the extraction systems was studied. (2) 6 mol·L -1 NaNO 3-Nd (NO 3) 3-Pr (NO 3) 3-TBP -kerosene and (2) [Nd (NO3) 3.3TBP] - [Pr (NO3) 3.3TBP] -kerosene-0.1 mol·L-1 HNO3. Mathematical modeling of the nonstationary membrane extraction has been enhanced by including the dependence of the extraction rate constants on temperature. The values ​​of activation energy for direct and reverse extraction and stripping reactions of Pr and Nd were calculated from experimental temporal dependencies of metal concentration and temperature by solving the reverse kinetics problem using the proposed mathematical model. A series of experiments with periodical oscillations of the temperature on the extraction system for the separation of rare earth elements (REE) using bulk liquid membrane between two extractors were. The mathematical model adequately describes the exper The optimization of the extraction process for separation of REE by liquid membrane, under the influence of periodical oscillation of the temperature, was made based on the extraction rate constants and activation energies. The optimal conditions of separation by liquid membrane were found: frequency and amplitude of thermal oscillations, liquid membrane flow rate, and optimal ratio between organic and aqueous phase in extractors.