In this work, the modified Lyapunov-Schmidt reduction is used to find a nonlinear Ritz approximation of Fredholm functional defined by the nonhomogeneous Camassa-Holm equation and Benjamin-Bona-Mahony. We introduced the modified Lyapunov-Schmidt reduction for nonhomogeneous problems when the dimension of the null space is equal to two.  The nonlinear Ritz approximation for the nonhomogeneous Camassa-Holm equation has been found as a function of codimension twenty-four.

Abstract

This study highlights the importance of Iraq in the analysis of foreign trade and economic growth for the period (1980 - 2013) is an attempt to determine the equilibrium relationship long term and short term between these two variables were used ARDL model to explain the economic relationship between the two variables.

To achieve the objectives of the research has been the standard model estimate after testing the stability of exports X data series, and imports M, and GDP current prices, and exchange rate EXR, and verify the existence of a joint integration relationship between these variables.

In order to achieve the objectives of the research it

An expression for the transition charge density is investigated where the deformation in nuclear collective modes is taken into consideration besides the shell model transition density. The inelastic longitudinal form factors C2 calculated using this transition charge density with excitation of the levels for Cr54,52,50 nuclei. In this work, the core polarization transition density is evaluated by adopting the shape of Tassie model together with the derived form of the ground state two-body charge density distributions (2BCDD's). It is noticed that the core polarization effects which represent the collective modes are essential in obtaining a remarkable agreement between the calculated inelastic longitudinal F(q)'s and those of experimen

Methods of teaching plays an important vole in the educational process
because is the link between the teacher and the learner. The process of
teaching doesut fulfill the desirable results unless the methods of guiding and
teaching are provided and through a qualified educationalist capable of
communicating the syllabus to the students in an easy and clear way. In spite
of the diversity of the methods of teaching ,there is no one way suitable for all
the educational purposes , all the sciences ,all the subjects ,all the levels of
growth ,levels of teaching, maturity and intelligences ,all teachers and
educationalists and all the circum stances surrounding the teaching processes
.The teacher is the one who choos

Drawing upon the recent theoretical framework of Burkean concept of identification (ID), the current study aims at probing the interaction of content and form in two letters penned by Iran’s Supreme Leader and addressed to the Youth on Jan. and Nov. 2015. To this end, the study seeks (i) to determine a role ID takes in the conveyance of intended assumptions to the targeted readers; and (ii) to observe if the writer’s objectives, i.e. to identify himself with the readers and to realize his politically-religiously-infused creeds, result in success or failure; moreover, (iii) it seeks to determine how he achieved his end to attenuate the impacts of blazing inferno of Islamophobia and anti-Islam sentiments in his addressees. The who

Verbal Antonyms: A research in the relationship in meaning Between the words in Arabic language

The study sought to highlight the importance of applying the administrative control procedures which play an important role in assessing the performance of the employees of the tax administration and specifically the companies department by setting the standards and objectives of the department on the basis of which in the implementation of its work and identify deviations and errors and find appropriate solutions and evaluate the results according to appropriate solutions, The study of the problem of research, namely the extent to which the tax administration applied to the administrative control procedures in view of its importance in evaluating the performance of its employees and the extent of their application to the legislations an

The Arabic language is one of the honoring languages that has a supreme status. Being the language of the Holly Qura'an has increased its refinedness and spread in the Islamic and non-Islamic world. It has become the means of communication and conversation, and the language of knowledge and thought. The multiplicity of its dialects and accents is a sign of its capacity. Many Roman, Persian, and Greek sciences and arts have been translated and Arabicized into it. It has further become the formal language of communication in the world. Many great Arab scholars have played a role in examining it to maintain and elevate it. One of these scholars is the great scientist Mohammad Muhi Ad-Deen Abdulhameed who has done great syntactic efforts in