COUPLED RANDOM IMPULSIVE SEMILINEAR DIFFERENTIAL SYSTEM OF EQUATIONS AND APPLICATIONS

被引：0

作者：

Ben Khalifa, Ourida ^{[1
]}

Amor, Sana Hadj ^{[2
]}

机构：

[1] AL Baha Univ, Fac Sci, Dept Math, Al Bahah, Brazil

[2] Univ Sousse, Higher Sch Sci & Technol, Dept Math, LR11ES35, Hammam Sousse, Tunisia

来源：

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 16卷 / 01期

关键词：

Perov's Theorem; stability; Vector valued norms; random impulsive semilinear differential systems; STABILITY;

D O I：

10.54671/BMAA-2024-1-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use a new technique for the treatment of systems based on the advantage of vector-valued norms in the study of coupled random impulsive semilinear differential systems of equations. Using the fixed point theory technique we prove existence, uniqueness, and stability. Finally, an example is provided to illustrate the relevance of the results.

引用

页码：1 / 12

页数：12

共 50 条

[21] On Lp(k)-equivalence of impulsive differential equations and its applications to partial impulsive differential equations
Georgieva, A.
Kostadinov, S.
Stamov, G. T.
Alzabut, J. O.
ADVANCES IN DIFFERENCE EQUATIONS, 2012,
[22] On Lp(k)-equivalence of impulsive differential equations and its applications to partial impulsive differential equations
A Georgieva
S Kostadinov
GT Stamov
JO Alzabut
Advances in Difference Equations, 2012
[23] EXISTENCE RESULTS ON RANDOM IMPULSIVE SEMILINEAR FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH DELAYS
Vinodkumar, A.
ANNALS OF FUNCTIONAL ANALYSIS, 2012, 3 (02): : 89 - 106
[24] Existence, uniqueness and stability results of random impulsive semilinear differential systems
Anguraj, A.
Vinodkumar, A.
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (03) : 475 - 483
[25] Controllability of semilinear noninstantaneous impulsive ABC neutral fractional differential equations
Balasubramaniam, P.
CHAOS SOLITONS & FRACTALS, 2021, 152
[26] A DISCUSSION ON CONTROLLABILITY OF SEMILINEAR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS OF SECOND ORDER
Kumar, K.
Kumar, R.
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2025, 15 (03): : 590 - 601
[27] On existence of solutions of semilinear impulsive functional differential equations with nonlocal conditions
Akça, H
Covachev, V
Al-Zahrani, E
RECENT ADVANCES IN OPERATOR THEORY, OPEATOR ALGEBRAS, AND THEIR APPLICATIONS, 2005, 153 : 1 - 11
[28] Existence of mild solutions for semilinear differential equations with nonlocal and impulsive conditions
Olszowy, Leszek
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (04): : 623 - 635
[29] Existence of Solutions for Semilinear Impulsive Delay Differential Equations with Nonlocal Conditions
李美丽
刘海强
JournalofDonghuaUniversity(EnglishEdition), 2010, 27 (05) : 614 - 617
[30] COUPLED SYSTEM OF NONLINEAR IMPULSIVE HYBRID DIFFERENTIAL EQUATIONS WITH LINEAR AND NONLINEAR PERTURBATIONS
Hannabou, M.
Bouaouid, M.
Hilal, K.
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2024, 14 (04): : 1434 - 1450

← 1 2 3 4 5 →