In this paper, third order non-polynomial spline function is used to solve 2nd kind Volterra integral equations. Numerical examples are presented to illustrate the applications of this method, and to compare the computed results with other known methods.

In this paper, the dynamic behaviour of the stage-structure prey-predator fractional-order derivative system is considered and discussed. In this model, the Crowley–Martin functional response describes the interaction between mature preys with a predator.  e existence, uniqueness, non-negativity, and the boundedness of solutions are proved. All possible equilibrium points of this system are investigated.  e su‰cient conditions of local stability of equilibrium points for the considered system are determined. Finally, numerical simulation results are carried out to con‹rm the theoretical results.

During the last quarter century, many changes have taken place in the tanks industry and also in the materials that used in its production، while concrete is the most suitable material where concrete tanks has the benefits of strength, long service life and cost effectiveness. So, it is necessary improvement the
conventional concrete in order to adapt the severe environment requirements and as a result high
performance concrete (HPC) was used. It is not fundamentally different from the concrete used in the past, although it usually contains fly ash, ground granulated blast furnace slag and silica fume, as well as
superplasticizer. So, the content of cementitious material is high and the water/cement ratio is low. In this
stu

This research tackles the play of Synge "Rider to the Sea" to find out whether the
theories of Leech (1983) and Brown and Levinson (1987) can be applied or not to this study.
The model of Leech (1983) consists of seven principles and for Brown and Levinson
(1987),it consists of two principles of politeness where one of them is positive and the other is
negative politeness.
It is hypothesed that:
1. There is a relation between the two theories.
2. Synge deals with these theories in such a way to depict his characters.
3. It is also hypothesed that every character deals with these principles in such a way to show
the events of the play.
The study concludes that there is a relation between the two theories in d

The letters draw clear picture for what had happened in that time it was full of incidents .that incidents had began with the byzantine invation and  persioan persecution .later on the Muslins managed to conquest Iraq and Persia .the muslims spread  peace and security for the pupils of that area.

Ishuib manged to achieve peace and security to his adherence .he proved that he was one of those who were aunique persons. Because  he did his beast  to active and revive the general and special life to his adherence. He succeeded to organize the Christian relation ship with the muslims .

He wrote an agreement with muslims .he thought that this Islamic canquest was from allah to die done the mazdism. He said t

The research discusses the issue of attribution to the verb, because the Arab scholars are unanimous in preventing attribution of the verb, because it is always informed of it, and does not inform about it, but this consensus violates the linguistic use. The research discusses this matter.

تعد اللغة العربية العامة من المواد التي تدرسها الطالبات في الصف الأول في كل أقسام كلية التربية للبنات، وقد لاحظ الباحث إن الطالبات يفتقرن الى التعرف الى معاني كثير من الكلمات التي ترد في المقطوعات الأدبية الشعرية منها والنثرية التي يقدمها أستاذ المادة، وبما إن وقت المحاضرة محدود فأنه لا يسمح بالتعرف الى أفكار الطالبات حول معاني هذه الكلمات وقد يضطر الأستاذ أخيرا الى تقديم المعاني جاهزة للطالبات من اجل

The present investigation considers the effect of curing temperatures (30, 40, and 50˚C) and curing compound method on compressive strength development of high performance concrete, and compares the results with concrete cured at standard conditions and curing temperature (21˚C). The experimental results showed that at early ages, the rate of strength development at high curing temperature is greater than at lower curing temperature, the maximum increasing percentage in compressive strength is 10.83% at 50C˚ compared with 21C˚ in 7days curing age. However, at later ages, the strength achieved at higher curing temperature has been less, and the maximum percentage of reduction has been 5.70% at curing temperature 50C˚ compared with 21

The Vogue of the Restoration Comedy of Manners and George Etherage's The Man of Mode; or, Sir Fopling Flutter