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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 2, Pages 155–161
(Mi jsfu358)
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This article is cited in 2 scientific papers (total in 2 papers)
On solvability of the Cauchy problem for a loaded system
Yuriy Ya. Belov, Kirill V. Korshun Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041 Russia
Abstract:
In this work we investigated the Cauchy problem for a loaded Burgers-type system. Example of mathematical physics inverse problem leading to problem being investigated is given. Sufficient conditions for existence of solution in continuously differentiable class are obtained.
Keywords:
Cauchy problem, inverse problem, Burgers' equation, non-linear system, weak approximation method.
Received: 20.01.2014 Received in revised form: 28.02.2014 Accepted: 16.03.2014
Citation:
Yuriy Ya. Belov, Kirill V. Korshun, “On solvability of the Cauchy problem for a loaded system”, J. Sib. Fed. Univ. Math. Phys., 7:2 (2014), 155–161
Linking options:
https://www.mathnet.ru/eng/jsfu358 https://www.mathnet.ru/eng/jsfu/v7/i2/p155
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Abstract page: | 323 | Full-text PDF : | 100 | References: | 67 |
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