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Register a new userThe study of stability of solution for non-stationary Differential Equations System With Delay
دراسة استقرار حل جملة معادلات تفاضلية ذات تأخير زمني لا توقفية
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Aِl-Baath University رسالة ماجستير
Publication date
2014
fields
Mathematics
and research's language is
العربية
Created by
Shamra Editor
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تتضمن الرسالة أربعة فصول : الفصل الأول : ويتضمن بعض المفاهيم والتعاريف والمبرهنات التي تتعلق بالبحث. الفصل الثاني : دراسة استقرار جملة معادلات تفاضلية خطية لا توقفيه ذات تأخير زمني . الفصل الثالث :دراسة استقرار حل جملة المعادلات التفاضلية الخطية ذات تأخير زمني . الفصل الرابع : دراسة استقرار حل المعادلات التفاضلية لا توقفية ذات تأخر زمني باستخدام نظرية النقطة الثابتة
No English abstract
References used
د. كثرة مخول , معادلات التفاضلية 1 , جامعة البعث
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Defining some of the essential definitions and conceptions.
Stochastic matrix.
Stability.
Approximate stability.
Approximate stability in the quadratic middle.
Formula of a system of unsettled non stationary stochastic
differential equations.
Formula of a generalized system of unsettled non- stationary
stochastic differential equations.
Foundations of a system of differential equations that divines the
partial moments of the second order.
Foundations of a system of differential equations that divines
matrices of Lyapunov's functions.
The necessary and sufficient conditions formatrisses of Lyapunov's
functions to assure the stability of the studied system's solution
approximately in the quadratic middle.
In this paper we used Liapunov’s Second Method for study of
stability of differential equations system with delay.
In this article, we propose a powerful method called
homotopy perturbation method (HPM) for obtaining the
analytical solutions for an non-linear system of partial
differential equations. We begin this article by apply HPM
method for an important models of linear and non-linear
partial differential equations.
Most of mathematical physics problems can be translated into solve one
partial differential equation or more with specific initial conditions and
boundary conditions. This is called the boundary value problem for the
differential equations.
This
paper studies the solution of systems of hyperbolic and parabolic
partial differential equations assuming some boundary conditions in different
domains in the plane xoy.
In this paper we have proved theorem about the existence and uniqueness of
the solutions. This article is considered to be a continuation to the works of
Alimove, Ssallah Aldinov, Gooraev and Alhamad.......
We study the asymptotic behavior of solutions of a nonlinear differential
equation.
Using Bihari's integral inequality, we obtain sufficient conditions for all of
continuable solutions to be asymptotic.
suggested questions
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