Existence of solution sets for Φ-Laplacian for random impulsive differential equations

被引：0

作者：

Ferhat, Mohamed ^{[1
]}

Ladrani, Fatima Zohra ^{[2
]}

Biomy, Mohamad ^{[3
]}

Moumen, Abdelkader ^{[4
]}

Saber, Hicham ^{[4
]}

Alraqad, Tariq ^{[4
]}

机构：

[1] Univ Sci & Technol Oran Mohamed BoudO USTOMB, Fac Math & Informat, Dept Math, BP 1505, Oran 31000, Algeria

[2] Higher Training Teachers Sch Oran Ammour Ahmed ENS, Dept Exact Sci, Dept Phys, Oran 31000, Algeria

[3] Qassim Univ, Fac Business Adm Ar Rass, Dept Management Informat Syst, Buraydah, Saudi Arabia

[4] Univ Hail, Fac Sci, Dept Math, Hail 55425, Saudi Arabia

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2024年 / 88卷

关键词：

Iterative methods; Differential equations; Random phi-Laplacian differential equation; Random operator; Generalized Banach space; Compactness; Fixed point; FIXED-POINT THEOREMS; RANDOM APPROXIMATIONS;

D O I：

10.1016/j.aej.2023.12.062

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this article, we provide results on the existence and compactness of the set of solutions for a class of initial-value problem representing a first-order random impulsive differential equation. The key tool to achieve our goal is based on an alternative nonlinear Leary-Schauder type theorem in the settings of generalized Banach spaces.

引用

页码：189 / 196

页数：8

共 50 条

[41] Existence of the Mild Solution to Impulsive Nonlocal Fractional Integro-Differential Equations
Kumar S.
Chadha A.
Rohila R.
International Journal of Applied and Computational Mathematics, 2024, 10 (1)
[42] Existence of Solution for Second Order Impulsive Differential Equations with Mixed Boundary Conditions
Yan, Lizhao
Liu, Jian
INFORMATION TECHNOLOGY APPLICATIONS IN INDUSTRY II, PTS 1-4, 2013, 411-414 : 1396 - +
[43] Existence of a Mild Solution for Impulsive Neutral Fractional Differential Equations with Nonlocal Conditions
Chadha, Alka
Pandey, Dwijendra N.
MATHEMATICAL ANALYSIS AND ITS APPLICATIONS, 2015, 143 : 319 - 333
[44] Existence of solution to a class of boundary value problem for impulsive fractional differential equations
Wen-Xue Zhou
Xu Liu
Advances in Difference Equations, 2014
[45] THE EXISTENCE AND HYERS-ULAM STABILITY FOR SECOND ORDER RANDOM IMPULSIVE DIFFERENTIAL EQUATIONS
Niu, Panpan
Shu, Xiao-Bao
Li, Yongjin
DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (03): : 673 - 690
[46] Existence of mild solutions of random impulsive functional differential equations with almost sectorial operators
Anguraj, A.
Ranjini, M. C.
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2012, 5 (03): : 174 - 185
[47] EXISTENCE OF THREE SOLUTIONS TO IMPULSIVE DIFFERENTIAL EQUATIONS
Li, Jianli
Shen, Jianhua
JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2012, 24 (02) : 273 - 281
[48] Global existence results for impulsive differential equations
Shen, JH
Liu, XZ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (02) : 546 - 557
[49] On the Existence of Solutions for Impulsive Fractional Differential Equations
Guan, Yongliang
Zhao, Zengqin
Lin, Xiuli
ADVANCES IN MATHEMATICAL PHYSICS, 2017, 2017
[50] Existence of multiple positive solutions for impulsive differential equations with integral boundary conditions and p-Laplacian
Li, Pei-Luan
Yuan, He-Cai
Wu, Yu-Sen
PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION (ICMS2011), VOL 1, 2011, : 88 - 92

← 1 2 3 4 5 →