Title of article :
Analytical solution for descriptor system in partial differential equations
Author/Authors :
Zubova ، Svetlana Petrovna Department of mathematical Analysis - Faculty of Mathematics - Voronezh State University , Mohamad ، Abdulftah Hosni Department of mathematical Analysis - Faculty of Mathematics - Voronezh State University
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 :
Banach Space , descriptor system , Differential algebraic equations , 0 , normal eigenvalue , Showalter , type conditions
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
