偏微分方程中广义系统的解析解

IF 1.1 Q2 MATHEMATICS, APPLIED

Computational Methods for Differential Equations Pub Date : 2021-04-01 DOI:10.22034/CMDE.2021.42195.1824

S. Zubova, Abdulftah Hosni Mohamad

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引用次数: 0

摘要

考虑Banach空间中常不可逆系数的一阶偏微分方程。将方程分解为子空间中的方程，在子空间中得到非退化的子系统。我们得到了每个系统在showalter型条件下的解析解。最后，给出了一个算例来说明理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Analytical solution for descriptor system in partial differential equations

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.

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来源期刊

Computational Methods for Differential Equations MATHEMATICS, APPLIED-

CiteScore

2.20

自引率

27.30%

发文量

审稿时长

4 weeks