On One Boundary Value Problem for a Nonlinear Equation with the Iterated Wave Operator in the Principal Part
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Abstract One boundary value problem for a hyperbolic equation with power nonlinearity and the iterated wave operator in the principal part is considered in a conical domain. Depending on the index of nonlinearity and spatial dimensionality of the equation the question on the existence and uniqueness of a solution of a boundary value problem is investigated. The question as to the absence of a solution of this problem is also considered.
2017 ◽
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pp. 5-14
2018 ◽
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pp. 308-324
2000 ◽
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pp. 133-154
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2004 ◽
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pp. 218-226
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1980 ◽
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