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

共 50 条

[41] LOWER AND UPPER SOLUTIONS FOR DELAY EVOLUTION EQUATIONS WITH NONLOCAL AND IMPULSIVE CONDITIONS [J].

Zhang, Xuping .

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 2022 (31)

[42] Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel'skii Fixed Point Theorem [J].

Airou, Ismail ;

El Mfadel, Ali ;

Elomari, M'hamed .

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2025, 22 (01) :93-108

[43] Controllability of fractional noninstantaneous impulsive integrodifferential stochastic delay system [J].

Priyadharsini, J. ;

Balasubramaniam, P. .

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2021, 38 (02) :654-683

[44] A generalisation of a theorem of O. Perron for semilinear evolution equations [J].

Preda, Ciprian .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2016, 160 (03) :379-399

[45] Existence Result for Coupled Random First-Order Impulsive Differential Equations with Infinite Delay [J].

Moumen, Abdelkader ;

Ladrani, Fatima Zohra ;

Ferhat, Mohamed ;

Cherif, Amin Benaissa ;

Bouye, Mohamed ;

Bouhali, Keltoum .

FRACTAL AND FRACTIONAL, 2024, 8 (01)

[46] EXISTENCE RESULTS FOR FRACTIONAL IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS WITH INTEGRAL CONDITIONS OF KATUGAMPOLA TYPE [J].

Karthikeyan, P. ;

Venkatachalam, K. ;

Abbas, S. .

ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2021, 90 (04) :421-436

[47] Existence and Stability Results of Nonlinear Random Impulsive Integro-Differential Evolution Equations with Time-Varying Delays [J].

Maqbol, Sahar M. A. ;

Jain, Rupali S. ;

Reddy, B. Surendranath .

CONTEMPORARY MATHEMATICS, 2024, 5 (01) :402-420

[48] Perron's theorem for linear impulsive differential equations with distributed delay [J].

Akhmet, M. U. ;

Alzabut, J. ;

Zafer, A. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 193 (01) :204-218

[49] Existence and uniqueness of solutions for nonlinear impulsive partial differential equations with delay [J].

He, Lianhua ;

Liu, Anping .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) :952-958

[50] EXISTENCE AND STABILIZATION FOR IMPULSIVE DIFFERENTIAL EQUATIONS OF SECOND ORDER WITH MULTIPLE DELAYS [J].

Pinelas, Sandra ;

Tunc, Osman ;

Korkmaz, Erdal ;

Tunc, Cemil .

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 2024 (07)

← 1 2 3 4 5 →