Open AccessABOUT ONE NONLOCAL TASK FOR THE EQUATION OF THE FOURTH ORDER WITH THE DOMINATING MIXED DERIVATIVE
Author(s) -
С. В. Кириченко
Publication year - 2017
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2017-23-2-26-31
Subject(s) - equivalence (formal languages) , variable (mathematics) , mathematics , order (exchange) , derivative (finance) , task (project management) , set (abstract data type) , space (punctuation) , time derivative , mathematical analysis , pure mathematics , computer science , management , finance , financial economics , economics , programming language , operating system
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.