In this paper the oscillation criterion was investigated for all solutions of the third-order half linear neutral differential equations. Some necessary and sufficient conditions are established for every solution of (a(t)[(x(t)±p(t)x(?(t) ) )^'' ]^? )^'+q(t) x^? (?(t) )=0, t?t_0, to be oscillatory. Examples are given to illustrate our main results.

In this paper, the delay integral equations in population growth will be described,discussed , studied and transfered this model to integro-differential equation. At last,we will solve this problem by using variational approach.

Abstract:
Al-Marba'aniyah, which is a long cold wave, was defined by ancient
Iraqis. It represents the coldest days in Iraq. In this research paper, a new
scale was put to define it. It shows that the period between the minimum
temperature degree recoded in December and the minimum temperature
degree recorded in January is considered to be the period of Al-Marba'aniyah.
The research concluded that Al-Marba'aniyah is unsteady and it changes in
the days of its occurrence. It was also concluded that the dates of the
beginning and the end of Al-Marba'aniyah are unsteady, too. Moreover, it was
found out that each of the Siberian high, European high, and finally the
subtropical high are the responsible systems for

In this paper Volterra Runge-Kutta methods which include: method of order two and four will be applied to general nonlinear Volterra integral equations of the second kind. Moreover we study the convergent of the algorithms of Volterra Runge-Kutta methods. Finally, programs for each method are written in MATLAB language and a comparison between the two types has been made depending on the least square errors.

Oscillation criterion is investigated for all solutions of the first-order linear neutral differential equations with positive and negative coefficients. Some sufficient conditions are established so that every solution of eq.(1.1) oscillate. Generalizing of some results in [4] and [5] are given. Examples are given to illustrated our main results.

This paper investigates the effect of magnetohydrodynamic (MHD) of an incompressible generalized burgers’ fluid including a gradient constant pressure and an exponentially accelerate plate where no slip hypothesis between the burgers’ fluid and an exponential plate is no longer valid. The constitutive relationship can establish of the fluid model process by fractional calculus, by using Laplace and Finite Fourier sine transforms. We obtain a solution for shear stress and velocity distribution. Furthermore, 3D figures are drawn to exhibit the effect of magneto hydrodynamic and different parameters for the velocity distribution.

الخلاصة:
ة k تعتبر عملیة تشفیر البیانات الصوتیة من التكنولوجیا المألوفة لخزن ونقل الاشارات الصوتیة. العلامة المائی
ات k اق المعلوم k مح بالح k ذا تس k وتیة وھك k ارات الص k طة الاش k ة بواس k ات المنقول k تعطي القوة في عدم التحسس بوجود البیان
القیمة بالمحتوى مثل اسم المؤلف او الفنان او حقوق الطباعة المتعلقة بالبیانات.
ة k وع موج k ن ن k وتي م k ف ص k ي مل k ص ف k وع ن k ن ن k ة م k ة المائی k اء العلام k نة لاخف k ة محس k ث خوارز

The aim of this paper is to propose a reliable iterative method for resolving many types of Volterra - Fredholm Integro - Differential Equations of the second kind with initial conditions. The series solutions of the problems under consideration are obtained by means of the iterative method. Four various problems are resolved with high accuracy to make evident the enforcement of the iterative method on such type of integro differential equations. Results were compared with the exact solution which exhibits that this technique was compatible with the right solutions, simple, effective and easy for solving such problems. To evaluate the results in an iterative process the MATLAB is used as a math program for the calculations.

Oscillation criteria are obtained for all solutions of the first-order linear delay differential equations with positive and negative coefficients where we established some sufficient conditions so that every solution of (1.1) oscillate. This paper generalized the results in [11]. Some examples are considered to illustrate our main results.