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In the article the nonlocal task for the model equation from the dominating mixed derivative of the fourth order is considered. The unique solubility of an objective in which two of four conditions are nonlocal is proved and represent integrals both on a space variable, and on time variable. For the proof the new method based on equivalence of an objective and set of equations of the second order is offered.doi:10.18287/2541-7525-2017-23-2-26-31 fatcat:cxfl65u6nfd73eyytxntyo3hqm