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Analytical solution for descriptor system in partial differential equations | ||
| Computational Methods for Differential Equations | ||
| مقاله 10، دوره 9، شماره 2، تابستان 2021، صفحه 467-479 اصل مقاله (134.05 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2021.42195.1824 | ||
| نویسندگان | ||
Svetlana Petrovna Zubova1؛ Abdulftah Hosni Mohamad   2
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| 1Department of mathematical Analysis, Faculty of Mathematics,\Voronezh State University, Voronezh, Russia. | ||
| 2Department of mathematical Analysis, Faculty of Mathematics,\Voronezh State University, Voronezh, Russia. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Banach space؛ Descriptor system؛ Differential algebraic equations؛ 0-normal eigenvalue؛ Showalter-type conditions | ||
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آمار تعداد مشاهده مقاله: 15 تعداد دریافت فایل اصل مقاله: 45 |
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