Analytical solution for descriptor system in partial di, erential equa-tions

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Petrovna Zubova Svetlana; Hosni Mohamad Abdulftah

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Journal Paper

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Journal: Computational Methods for Differential Equations Year:2021 | Volume:9 | Issue:2 Page(s): 467-479

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Title

Analytical solution for descriptor system in partial di, erential equa-tions

Author(s)

Petrovna Zubova Svetlana | Hosni Mohamad Abdulftah | Issue Writer Certificate

Keywords

Banach space

Descriptor system

erential algebraic equations

0-normal eigenvalue

Showalter-type conditions

Abstract

We consider a , rst-order partial Di, erential equation with constant irreversible co-e, cients 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 ana-lytical solution of each system with Showalter-type conditions. Finally, an example is given to illustrate the theoretical results.

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APA: Copy

Petrovna Zubova, Svetlana, & Hosni Mohamad, Abdulftah. (2021). Analytical solution for descriptor system in partial di, erential equa-tions. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 9(2), 467-479. SID. https://sid.ir/paper/1057857/en

Vancouver: Copy

Petrovna Zubova Svetlana, Hosni Mohamad Abdulftah. Analytical solution for descriptor system in partial di, erential equa-tions. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2021;9(2):467-479. Available from: https://sid.ir/paper/1057857/en

IEEE: Copy

Svetlana Petrovna Zubova, and Abdulftah Hosni Mohamad, “Analytical solution for descriptor system in partial di, erential equa-tions,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 9, no. 2, pp. 467–479, 2021, [Online]. Available: https://sid.ir/paper/1057857/en

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