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

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