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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2017, Issue 2, Pages 26–31
(Mi vsgu539)
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This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
About one nonlocal task for the equation of the fourth order with the dominating mixed derivative
S. V. Kirichenko Samara State University of Railway Transport, 18, 1-st Besymanniy per., Samara, 443066, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
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.
Keywords:
pseudo-hyperbolic equation, nonlocal task, integral conditions, dominating derivative.
Received: 10.07.2017
Citation:
S. V. Kirichenko, “About one nonlocal task for the equation of the fourth order with the dominating mixed derivative”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 2017, no. 2, 26–31
Linking options:
https://www.mathnet.ru/eng/vsgu539 https://www.mathnet.ru/eng/vsgu/y2017/i2/p26
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