Abstract
In this paper author prove the existence and uniqueness of a regular solution of the first boundary value problem for a higher order nonclassical equation of mathematical physics in a cylindrical domain, using the nonstationary Galerkin method and regularization method. The estimate is obtained for convergence rate of approximate solutions of this problem in terms of regularization parameter and eigenvalues of the selfadjoint spectral problem for a higher order elliptic equation.
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