Mixed problem for a one-dimensional wave equation with conjugation conditions and second-order derivatives in boundary conditions
2020 ◽
Vol 56
(3)
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pp. 287-297
Keyword(s):
In this paper, we consider the boundary problem for the half-strip on the plane for the case of two independent variables. This mixed problem is solved for a one-dimensional wave equation with Cauchy conditions on the basis of the half-strip and boundary conditions for lateral parts of the area border containing second-order derivatives. Moreover, the conjugation conditions are specified for the required function and its derivatives for the case when the homogeneous matching conditions are not satisfied. A classical solution to this problem is found in an analytical form by the characteristics method. This solution is approved to be unique if the relevant conditions are fulfilled.
2020 ◽
Vol 55
(4)
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pp. 406-412
2007 ◽
Vol 137
(2)
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pp. 349-371
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2014 ◽
Vol 205
(4)
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pp. 573-599
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2005 ◽
Vol 135
(2)
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pp. 317-329
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2019 ◽
Vol 54
(4)
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pp. 391-403
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1982 ◽
Vol 38
(158)
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pp. 415-415
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