Abstract
We study a mixed problem with purely integral conditions for a class of two-dimensional second-order hyperbolic equations. We prove the existence, uniqueness, and the continuous dependence upon the data of a generalized solution. We use a functional analysis method based on a priori estimate and on the density of the range of the operator generated by the considered problem.
Citation
Said Mesloub. Abdelfatah Bouziani. "Mixed problem with integral conditions for a certain class of hyperbolic equations." J. Appl. Math. 1 (3) 107 - 116, 16 September 2001. https://doi.org/10.1155/S1110757X01000365
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