Solutions of problems for the wave equation with conditions on the characteristics
2021 ◽
Vol 57
(2)
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pp. 148-155
Keyword(s):
The One
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In this paper we obtain a classical solution of the one-dimensional wave equation with conditions on the characteristics for different areas this problem is considered in. The analytical solution is constructed by the method of characteristics. In addition, the uniqueness of the obtained solution is proved. The necessity and sufficiency of the matching conditions for given functions of the problem are proved. When these conditions are satisfied and the given functions are smooth enough, the classical solution of the considered problem exists.
2020 ◽
Vol 55
(4)
◽
pp. 406-412
2021 ◽
Vol 57
(4)
◽
pp. 417-427
1992 ◽
Vol 114
(4)
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pp. 459-463
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