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 research sought to demonstrate the effectiveness of monetary policy in banking stability by measuring the impact of monetary policy in the composite index of banking stability in Iraq for the period 2010/2017, as the stability of the financial system is one of the main objectives that the Central Bank is keen to achieve along with other objectives to ensure the performance Effective for all economic units, this is what prompted the central banks to give more attention in ensuring the safety, durability and stability of their financial systems, and the increasing interest by the Central Bank of Iraq in the subject of financial stability stems from its responsibility in ensuring a sound and stable financial system. Maintain it and mini

The research deals with an important detail of the joints of the film industry and television drama, which is the expression and aesthetic of the long shot, after being popularized by some directors, and that the long shot has been employed since the beginning of the cinema. But the research addresses the contemporary film and how the long shot worked. The researcher identified her goal in identifying the aesthetic and expressive of the long shot in the contemporary film, and then defined the term of the shot and the long shot.
The theoretical framework was based on two topics: the first (aesthetic and artistic expression in cinema) and the second (the long shot and the state of its construction). The researcher then chose LA LA LAND

Garbage is the waste of neglected human beings. The despised thing turns into art. We accept its existence as one of the new aesthetics that have been extended in the joints of modern life. Works of debris and waste find their place in exhibitions, museums and urban spaces of cities. It is one of the major tremors in the transformation of aesthetic taste on the level of art history.In light of these ideas, we are faced with the problem of interpreting the phenomenon and its identity, because the remnants of garbage for each people have historical characteristics and a kind of anthropology that refers to the culture of human use of the materials and their waste and the identity of their belonging. In Iraq, the garbage has its ecological a

the visual and aesthetic characteristics of the city depending on understanding several levels of visual and aesthetic characteristics to the city, starting with the study of the physical characteristics and morphology of the city in general, and urban style to it, and then study of visual composition of the city from the optical components that affect the composition of the image (visual composition) of the city represent by pathways, borders, regions and the specific features as classified by (Kevin Lynch), and then studying the details and the attention of all elements that would confer the beautiful appearance as necessary for the needs of society and the environment in general, for example, interest in the distribution and c

Background: Dental erosion is a common oral condition which results due to consumption of high caloric and low pH acidic food such as carbonated drinks and fruit juices. It is expected that these food types can cause irreversible damage to dental hard tissues and early deterioration of the dental restorations. So, this study aimed to evaluate and compare the erosive potential effects of orange fruit juice and Miranda orange drink on the microhardness of an orthodontic composite material. Materials and methods: Thirty discs with a thickness of 2 mm and a diameter of 10 mm were prepared from orthodontic bonding composite. The prepared discs were equally divided into three groups (n=10). Microhardness analysis was carried out both prior to