يهدف هذا البحث إلى دراسة طرائق حل المعادلة الفرقية الخطية من المرتبة الثانية بأمثال
متغيرة.
و سيتم عرض طريقة حلها و ذلك من خلال مبرهنتين مع تقديم إثباتهما و لن ننس التطرق إلى
بعض التعاريف و المفاهيم الأساسية اللازمة لذلك و عرض بعض التطبيقات عليهما.
This research studies solving the linear second order difference
equation with variable coefficients.
For solving this equation we use two theorems and prove these theorems as well
as we use some definitions and main concepts .
References used
Saber N. Elaydi, An introduction to difference equations, 3rd edition, Springer 2005
AndrieD.Polyanin,AlexanderV.Manzhirov .Hand book of mathematics for engineers andscientists ,2007
V.Lakshmikantham , Marcel Dekker.Theory of difference equations,2002
In this paper, we study the oscillation and nonoscillation theorems
for second order nonlinear difference equations.
By using some important of definitions and main concepts in
oscillation, in addition for lemmas, we introduce examples
illustrating the relevance of the theorems discussed.
In this paper, the numerical solution of general linear fifth-order boundary-value problem (BVP) is considered. This problem is transformed into three initial value problems (IVPs) and then spline functions with four collocation points are applied to
We aim in this research to study the existence and uniqueness of strong solution for
initial-boundary values problem for a semi-linear wave equation with the nonlinear
boundary dissipation, by transforming it to a Cauchy problem with second order operator
differential equations in Hilbert space. Therefore, we transform it, using Green's formula
for a triple of Hilbert spaces.
This research studies the distributive solutions for some partial
differential equations of second order.
We study specially the distributive solutions for Laplas equation,
Heat equation, wave equations and schrodinger equation.
We introduce the
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