Document Type : Research Paper
Department of mathematical Analysis, Faculty of Mathematics,\\Voronezh State University, Voronezh, Russia.
We consider a first-order partial differential equation with constant irreversible coefficients in a Banach space in the regular case. The equation is split into equations in subspaces, in which non-degenerate subsystems are obtained. We obtain an analytical solution of each system with Showalter-type conditions. Finally, an example is given to illustrate the theoretical