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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 144, Pages 30–38
(Mi into269)
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This article is cited in 1 scientific paper (total in 1 paper)
Solvability of a Mixed Problem with an Integral Condition
for a Third-Order Hyperbolic Equation
O. S. Zikirova, D. K. Kholikovb a National University of Uzbekistan named after M. Ulugbek, Tashkent
b Tashkent Institute of Architecture and Civil Engineering
Abstract:
In the paper, we examine the solvability of a mixed problem with an integral
condition for a third-order equation whose principal part contains the wave
operator. The existence and uniqueness of a classical solution to this
problem are proved by the Riemann method.
Keywords:
Riemann function, Goursat problem, nonlocal condition, hyperbolic
equation, integral equation, solvability condition.
Citation:
O. S. Zikirov, D. K. Kholikov, “Solvability of a Mixed Problem with an Integral Condition
for a Third-Order Hyperbolic Equation”, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 144, VINITI, M., 2018, 30–38; Journal of Mathematical Sciences, 245:3 (2020), 323–331
Linking options:
https://www.mathnet.ru/eng/into269 https://www.mathnet.ru/eng/into/v144/p30
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Statistics & downloads: |
Abstract page: | 218 | Full-text PDF : | 88 | References: | 19 | First page: | 14 |
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