On a class of singular hyperbolic equation with a weighted integral condition (Q1587807)

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scientific article; zbMATH DE number 1538439
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On a class of singular hyperbolic equation with a weighted integral condition
scientific article; zbMATH DE number 1538439

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    On a class of singular hyperbolic equation with a weighted integral condition (English)
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    28 May 2001
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    Summary: We study a mixed problem with a nonlocal condition for a class of second-order singular hyperbolic equations. We prove the existence and uniqueness of a strong solution. The proof is based on an a priori estimate and on the density of the range of the operator generated by the studied problem.
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    weighted integral condition
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    mixed problem with a nonlocal condition
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    existence and uniqueness of a strong solution
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