Analytical solution for descriptor system in partial differential equations

Document Type : Research Paper

Authors

1 Department of mathematical Analysis, Faculty of Mathematics,\Voronezh State University, Voronezh, Russia.

2 Department of mathematical Analysis, Faculty of Mathematics,\Voronezh State University, Voronezh, Russia.

Abstract

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
results.

Keywords