Nonlinear differential equation stability is a very important feature of applied mathematics, as it has a wide variety of applications in both practical and physical life problems. The major object of the manuscript is to discuss and apply several techniques using modify the Krasovskii's method and the modify variable gradient method which are used to check the stability for some kinds of linear or nonlinear differential equations. Lyapunov function is constructed using the variable gradient method and Krasovskii’s method to estimate the stability of nonlinear systems. If the function of Lyapunov is positive, it implies that the nonlinear system is asymptotically stable. For the nonlinear systems, stability is still difficult even though

The topic of the research on the Observatory of the Walls on Jurisprudential Matters in the Hanafi Fiqh, by Imam San’a Allah bin Ali bin Khalil Al-Ala’iyya Wai al-Naqshbandi, al-Rumi, who died in 1137 AH, which includes seven chapters, the first section of it concerning division and related matters, and the second section in the adaptation It is the apportionment of benefits in common objects, the third section, which pertains to lines, surfaces, and bodies, the fourth section, which concerns the inclined wall and certification, and the fifth section, which concerns the provisions of the walls and its claims, and the sixth section, which concerns the door of roads and doors, the opening of the skylight, the sails of the wing, the can

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 implementation of decentralization in Iraq was asymmetrical, leading to different forms and paces of implementation. Comparing four cases of Basra, Kirkuk, Nineveh, and Sulaymaniyah indicate that these cases differ in their political stability and autonomy in a way that led to a different forms of decentralization. This paper argues that the higher the level of political autonomy from the federal government, the more efficient the governance model, and the more efficient the governance model, the more legitimate the system (trust), and the more legitimate a system, the more accountable elected officials. Therefore, it recommends reforming the institutional setup of decentralization by having districts, instead of provinces, as the bu

This research attempted to take advantage of modern techniques in the study of the superstructural phonetic features of spoken text in language using phonetic programs to achieve more accurate and objective results, far from being limited to self-perception and personal judgment, which varies from person to person.
    It should be noted that these phonological features (Nabr, waqf, toning) are performance controls that determine the fate of the meaning of the word or sentence, but in the modern era has received little attention and attention, and that little attention to some of them came to study issues related to the composition or style Therefore, we recommend that more attention should be given to the study of

The aim of the study was to investigate the effect of magnetized water on the histological structure of heart, lung and spleen. For this purpose, twenty five albino rats were divided into five equal groups, the first group was considered as control group. The other groups were given magnetized water with intensity of 250, 750, 1000, 1500 gause every day for 30 days. Then the animals were sacrificed and the histological change on heart, lung and spleen was studied. Histopathology of heart in rats treated with magnetic water with intensity of 250, 750, 1000, 1500 gause showed no clear pathological lesion. Lung section of rats treated with 250 gause of magnetic water showed no pathological lesion, while lung section belongs to rats group given

A factorial experiment (2× 3) in randomized complete block design (RCBD) with three replications was conducted to examine the effect of honeycomb selection method using three interplant distances on the vegetative growth, flowering, and fruit set of two cultivars of bean, Bronco and Strike. Interplant distances used were 75× 65 cm, 90× 78 cm, and 105× 91 cm (row× plant) represent short (high plant density), intermediate (intermediate plant density), and wide (low plant density) distance, respectively. Parameters used for selection were number of days from planting to the initiation of first flower, number of nodes formed prior to the onset of first flower, and number of main branches. Results showed significant superiority of the Strik