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
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
收藏
页数:4
相关论文
共 50 条
[21]   On Existence and Uniqueness of Random Impulsive Differential Equations [J].
Zhang Shuorui ;
Sun Jitao .
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2016, 29 (02) :300-314
[22]   Existence and Uniqueness for impulsive fractional integrodifferential equations [J].
Sun Ying .
2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, :499-502
[23]   Existence results for impulsive neutral second-order stochastic evolution equations with nonlocal conditions [J].
Cui, Jing ;
Yan, Litan .
MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (9-10) :2378-2387
[24]   Total controllability for noninstantaneous impulsive conformable fractional evolution system with nonlinear noise and nonlocal conditions [J].
Ahmed, Hamdy M. .
FILOMAT, 2023, 37 (16) :5287-5299
[25]   A GENERAL CLASS OF IMPULSIVE EVOLUTION EQUATIONS [J].
Wang, JinRong ;
Feckan, Michal .
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2015, 46 (02) :915-933
[26]   Existence and exponential stability of the piecewise pseudo almost periodic mild solution for some partial impulsive stochastic neutral evolution equations [J].
Miraoui, Mohsen ;
Missaoui, Marwa .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (16) :16644-16671
[27]   Existence and exponential stability of pseudo almost periodic solutions for impulsive nonautonomous partial stochastic evolution equations [J].
Yan, Zuomao ;
Lu, Fangxia .
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[28]   Controllability of Impulsive ψ-Caputo Fractional Evolution Equations with Nonlocal Conditions [J].
Lin, Longfei ;
Liu, Yansheng ;
Zhao, Daliang .
MATHEMATICS, 2021, 9 (12)
[29]   Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps [J].
Ahmed, Hamdy M. ;
El-Borai, Mahmoud M. ;
Ramadan, Mohamed E. .
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2021, 22 (7-8) :927-942
[30]   Noninstantaneous impulsive inequalities via conformable fractional calculus [J].
Sitho, Surang ;
Ntouyas, Sotiris K. ;
Agarwal, Praveen ;
Tariboon, Jessada .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,