For a fourth-order equation with minor terms, we consider a boundary-value problem in a rectangular domain. The uniqueness of solution of the posed problem is proved by the method of energy integrals. The solution is expressed in terms of the constructed Green function. In the substantiation of uniform convergence, we establish the fact that the “small denominator” is not equal to zero.
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Translated from Neliniini Kolyvannya, Vol. 24, No. 3, pp. 291–305, July–September, 2021.
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Apakov, Y.P., Mamajonov, S.M. Boundary-Value Problem for the Fourth-Order Equation with Multiple Characteristics in a Rectangular Domain. J Math Sci 272, 185–201 (2023). https://doi.org/10.1007/s10958-023-06409-x
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DOI: https://doi.org/10.1007/s10958-023-06409-x