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Document Details
Document Type
:
Thesis
Document Title
:
A QUALITATIVE ANALYTICAL STUDY OF SOLUTIONS FOR CERTAIN DIFFERENTIAL EQUATIONS
دراسة تحليلية كيفية لحلول بعض المعادلات التفاضلية
Subject
:
Faculty of Science
Document Language
:
Arabic
Abstract
:
In this thesis, we presented a study to the behavior of some differential equations. In the first chapter, we presented some definitions and theorems that we need in this study. In the second chapter, by constructing an appropriate Lyapunov functional, we gave sufficient conditions of the uniform stability for non-linear fourth-order vector differential equation with variable delay. In the third chapter , we gave results on the uniform asymptotic stability, boundedness and square integrability of solutions of fourth-order differential equation with multiple delays. In the fourth chapter, we applied Mawhin’s continuous theorem to discuss the sufficient conditions for the existence and uniqueness of an w-periodic solution for a kind of third-order neutral functional differential equation.
Supervisor
:
Prof. Elsayed
Thesis Type
:
Master Thesis
Publishing Year
:
1443 AH
2022 AD
Co-Supervisor
:
Dr. Faris Alzahrani
Added Date
:
Sunday, March 20, 2022
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
عبدالعزيز صالح الحربي
Alharbi, Abdulaziz Saleh
Researcher
Master
Files
File Name
Type
Description
47452.pdf
pdf
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