Analytical solution for descriptor system in partial differential equations
نویسندگان
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.
doi
10.22034/cmde.2021.42195.1824چکیده
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.
