具有状态相关自变量的抽象微分方程解的局部和全局存在唯一性

IF 0.7 3区数学 Q2 MATHEMATICS

Proceedings of the Edinburgh Mathematical Society Pub Date : 2023-04-26 DOI:10.1017/S0013091523000160

E. Hernández, Denis Fernandes, A. Zada

引用次数: 1

摘要

摘要我们研究了一类具有状态相关自变量的抽象微分方程的温和解的局部和全局存在唯一性。在最后一节中，给出了具有状态相关变元的偏微分方程的一些例子。

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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Local and global existence and uniqueness of solution for abstract differential equations with state-dependent argument

Abstract We study the local and global existence and uniqueness of mild solution for a general class of abstract differential equations with state-dependent argument. In the last section, some examples on partial differential equations with state-dependent argument are presented.

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来源期刊

Proceedings of the Edinburgh Mathematical Society 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Edinburgh Mathematical Society was founded in 1883 and over the years, has evolved into the principal society for the promotion of mathematics research in Scotland. The Society has published its Proceedings since 1884. This journal contains research papers on topics in a broad range of pure and applied mathematics, together with a number of topical book reviews.