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., & Mohamad, A. (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
Svetlana Petrovna Zubova; Abdulftah 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
HARVARD
Zubova, S., Mohamad, A. (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
VANCOUVER
Zubova, S., Mohamad, A. 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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