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.
Zubova, S. Petrovna and Mohamad, A. Hosni (2021). Analytical solution for descriptor system in partial differential equations. Computational Methods for Differential Equations, 9(2), 467-479. doi: 10.22034/cmde.2021.42195.1824
MLA
Zubova, S. Petrovna, and Mohamad, A. Hosni. "Analytical solution for descriptor system in partial differential equations", Computational Methods for Differential Equations, 9, 2, 2021, 467-479. doi: 10.22034/cmde.2021.42195.1824
HARVARD
Zubova, S. Petrovna, Mohamad, A. Hosni (2021). 'Analytical solution for descriptor system in partial differential equations', Computational Methods for Differential Equations, 9(2), pp. 467-479. doi: 10.22034/cmde.2021.42195.1824
CHICAGO
S. Petrovna Zubova and A. Hosni Mohamad, "Analytical solution for descriptor system in partial differential equations," Computational Methods for Differential Equations, 9 2 (2021): 467-479, doi: 10.22034/cmde.2021.42195.1824
VANCOUVER
Zubova, S. Petrovna, Mohamad, A. Hosni Analytical solution for descriptor system in partial differential equations. Computational Methods for Differential Equations, 2021; 9(2): 467-479. doi: 10.22034/cmde.2021.42195.1824
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