Abstract:
In this paper, anisotropic classes of well-posed Cauchy problems and boundary-value problems for systems of convolutions equations are obtained. For a particular case of differential equations, a hypersurface of conjugate orders of the corresponding polynomial is used, and various classes of well-posed problems are obtained.
Keywords:convolution equation, boundary-value problem, Fourier transform, hypersurface of conjugate orders, anisotropic space of functions.