This paper aims to study the quaternary classical continuous optimal control problem consisting of the quaternary nonlinear parabolic boundary value problem, the cost function, and the equality and inequality constraints on the state and the control. Under appropriate hypotheses, it is demonstrated that the quaternary classical continuous optimal control ruling by the quaternary nonlinear parabolic boundary value problem has a quaternary classical continuous optimal control vector that satisfies the equality constraint and inequality state and control constraint. Moreover, mathematical formulation of the quaternary adjoint equations related to the quaternary state equations is discovered, and then the weak form of the quaternary adjoint equations is obtained. Lastly, both the necessary conditions for optimality and sufficient conditions for optimality of the proposed problem are stated and proved. The derivation for the Fréchet derivative of the Hamiltonian is attained.
Praise be to God, Lord of the worlds, and the outcome is for the righteous, and prayers and peace be upon the author of the clear communication, to whom was revealed the saying of the Lord of the worlds (And We have sent down to you the message that you may make clear to the people what has been sent down to them, and that they may reflect.)
His family, companions and followers, as for what follows:
Among the Qur’anic studies related to Islamic matters, ancient and modern, (the clear and similar in the Holy Qur’an), and due to the importance of the topic, we found the attention of scholars to it.
With many studies and research on it, and their efforts in overcoming its major obstacles, you will not find a scho
... Show MoreThe economical Freedom is consider one of the issues that took great deal of attention in the Islamic economy for its importance in achieving the economical development by granting the acquiring freedom for the individuals in gaining and getting the fruits of their efforts of work and studying where the goal of this freedom is put on end for poverties, unemployment and erect the foundation of social justice .
As for the curriculum which was suitable for this study, it was flying descriptive curriculum and the comparative curriculum, for searching in this subject and by depending on the related resources .
The scientific necessity divided this subject in three inquiries: the first the identification of the economical freedom and its
Language is fundamental and important for the development of various skills especially in the kindergarten stage where the child begins to approach others and interact with them linguistically listen to them and make sentences to communicate his ideas to them and without the ability to talk and expression, the child's benefit of his experiences in the kindergarten remains limited.
And that children at any stage of early education are subject to different stages of linguistic development, and these stages are a fundamental feature in learning, especially for the skills of speaking, listening and reading, Therefore, the researcher chose the speaking skill the
... Show MoreEducation represents a different their areas, especially after the educational cornerstone of Staff of the community in which young person’s that can stand up and shared the overall development process.
In order for education to be effective in the community, there is a need to develop to cope with the process development of civilization and modern technology. And for that to be achieved the goal of current research to stand on the advancement of the educational process through Knowledge of educational strategies that had previously requirements put forward for the development of educational process as well as through Knowledge of the mo
... Show MoreAn update of our research is the first to develop and reform the agricultural sector . and promoting production and productivity of this sector multi-sources , which is the management and beekeeping one source . Been applied to the style of beekeeping mobile promiscuous includes twentieth cell in the Iraqe project of mussiab . in which there exist a variety of crops and trees .
Experiment had proved successful and led to raise the level of npoduction of single Dell of the honey to 49 kg over the previous year and surpassed the average production percell in the province of Babylon , which the amount of 13.945 kg , another
... Show MorePraise be to God, Lord of the worlds, and prayers and peace be upon our master and beloved Muhammad, the wise guide and great teacher, the guide to a straight path, the one sent as a mercy to the worlds, and upon his good and chosen family, his chosen companions, the working scholars, and those who follow them in righteousness until the Day of Judgment.
And after:
One of the important controversial topics shared between the sciences of the Noble Hadith and the Fundamentals of God is the issue of the innovator in terms of accepting and rejecting his narration and testimony, and the difference in it leads to disagreement in many branches of jurisprudence that were based on texts narrated by innovated narrators or those accu
... Show MoreThe grammar structure transforms from its fundamental field to another field that takes new dimensions, and is used in another way in speech that differs from the first one, because the formula basis of the name(Faael) in speech is a (distorted characteristic), and the distorted characteristic indicates the stability and the necessity of the characterized. as this characteristic has changed from its use as a distorted characteristic which was established by the elders. to a use that differs from the first and cannot be overlooked to achieve a new purpose, to be used as plural
لخلاصة تشغل قضايا الهوية محور اهتمام الكثير من الباحثين والدارسين في بنية المجتمعات ومستقبل الدول, وفي كثير من الدراسات التي كتبها هؤلاء كان هناك ميل نحو دراسة الهوية وعلاقتها بحركة الدول تقدما وتراجعا ,فهناك من عزا تقدم دولة ما إلى نجاح نخبها السياسية في صناعة هوية جامعة لحالة التنوع الذي يميز مجتمعها, ويمكن ان تشير الى الولايات المتحدة الامريكية كأنموذج للنجاح في هذا الاطار.وهناك من ارجع
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