تحديات العولمة للشباب ومواجهتها في ضوء السيرة النبوية

Challenges are part of the ways of life, and the Islamic world is suffering of the rupture and differentiates internal conflicts, and the chaos of thought and delayed civilization. The most prominent of these challenges, which the Islamic world is facing, is the phenomenon of globalization. Which included the three worlds, and sought to dominate them, and melt the people’s properties and this is what precipitated the emergence of numerous drawbacks, and the researcher specially mentioned, negative aspects of identity, ethics and the environment. Young people who are the hope and asset of this nation are able to turn dreams into realities, and hopes to practical projects, and ambitions to the visible achievements. They are worthwhile, and the most capable and powerful to meet these challenges. If they grasp the necessary requirements that qualify and stables them to face it and take advantage of its goodness, and avoid disadvantage. But if they stationed, and failed to do their duty, they offered loss and destruction to themselves and nation. Curriculum should be prepared in accordance with the system of Islamic values, which are the individual configuration integrated, in belief, thought, and behavior, and attention to the development of the curriculum, and make it combines tradition and modernity, and the distinction between fixed and variable, and have superior mental abilities. All these issues are addressed in this research the negative impact of globalization on the environment, ethics and then showed the importance of taking care of the human development of young people, through various training programs that earn young people skills, science, and sophisticated learning methodical thinking, proper planning, and positive participation in society, and carry responsibility, and foster in them the ability to dialogue and to develop in them the spirit of creativity and scientific research and rational dealing with crises, and tribulations, and the ability to solve problems and meet the challenges of globalizatio

Linearization of Higher Order Differential Equations

Lie''s method for converting a scalar second order ordinary di erential equation (ODE) to linear ODE by point transformations was already extended to third and fourth order scalar ODEs by point and contact transformations and to the systems of second order ODEs. The point symmetry group classi cation of linear nth order scalar and second order systems of m ODEs was provided. Till recently no work on the linearization and classi cation has been done for higher order systems of ODEs and scalar ODEs linearizable via point, contact and higher order derivative transformations. In this work, we use Meleshko''s algorithm for reducing fourth order autonomous ODEs to second and third order linearizable ODEs and then applying the Ibragimov and Meleshko linearization test for the obtained ODEs. This method can be applied to solve those nonlinear ODEs that are not linearizable by point and contact transformations. Complex-linearization of a class of systems of second order ODEs had been studied with complex symmetry analysis. Linearization of this class had been achieved earlier by complex method, however, linearization conditions and the most general linearizable form of such systems have not been derived yet. It is shown that the general linearizable form of the complex-linearizable systems of two second order ODEs is (at most) quadratically semilinear in therst order derivatives of the dependent variables. Linearization conditions for such systems are derived in terms of coe cients of the system and their derivatives. Further, complex methods are employed to obtain the complex-linearizable form of 2?dimensional systems of third order ODEs. This complex-linearizable form leads to a linearizable class of these systems of ODEs. The most general linearizable form and iv linearization conditions for such class of 2?dimensional systems of third order ODEs are derived with complex-linearization. A canonical form for 2?dimensional linear systems of third order ODEs is obtained by splitting the complex, scalar, third order, linear ODE. This canonical form is used for the symmetry group classi cation of 2?dimensional linear systems of third order ODEs. Five equivalence classes of such systems with Lie algebras of dimensions 8, 9, 10, 11, and 13 are proved to exist. Contact and higher order derivative symmetries of scalar ODEs are related with the point symmetries of the reduced systems. Two new types of transformations that build up these relations and equivalence classes of scalar third and fourth order ODEs linearizable via these transformations are obtained. Four equivalence classes of these equations are seen to exist.