Existence Theorem for Noninstantaneous Impulsive Evolution Equations

被引：0

作者：

Hina Aslam, Gul, I ^{[1
]}

Ali, Amjad ^{[2
]}

Rafiq, Maimona ^{[3
]}

机构：

[1] Natl Univ Sci & Technol, Pakistan Navy Engn Coll, Karachi, Pakistan

[2] Univ Debrecen, Fac Sci & Technol, Debrecen, Hungary

[3] Comsats Univ Islamabad, Dept Math, Attock 43600, Pakistan

来源：

JOURNAL OF MATHEMATICS | 2021年 / 2021卷

关键词：

VARIATIONAL APPROACH; DIFFERENTIAL-EQUATIONS; STABILITY;

D O I：

10.1155/2021/5539306

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, the variational form of the classical Lax-Milgram theorem is used for the divulgence of variational structure of the first-order noninstantaneous impulsive linear evolution equation. The existence and uniqueness of the weak solution of the problem is obtained. In future, this constructive theory can be used for the corresponding semilinear problems.

引用

页数：4

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