This paper is concerned with the existence of a unique state vector solution of a couple nonlinear hyperbolic equations using the Galerkin method when the continuous classical control vector is given, the existence theorem of a continuous classical optimal control vector with equality and inequality vector state constraints is proved, the existence of a unique solution of the adjoint equations associated with the state equations is studied. The Frcéhet derivative of the Hamiltonian is obtained. Finally the theorems of the necessary conditions and the sufficient conditions of optimality of the constrained problem are proved.

The theme of causal attribution has generated a great deal of work and focuses on the factors to which people attribute their behavior. However, its use to explain the results of the evaluation and the support for the regulation of teaching and learning acts has rarely been raised. Indeed, in the evaluation act, which is a privileged moment for reframing the learning process, teachers attribute the results obtained to the student himself, without worrying about the factors to which the student attribute itself these failures. This can distort the regulatory process and increase failure factors. The teacher's attributions of failure often relate to the results of the evaluations and are often explained by factors external to him: such as

Abstract

Background: Hair loss is a common skin condition. Hair is not a vital organ but losing it has a worse effect on the psychological state of the patient and may interrupt his daily social activities. Telogen effluvium founded to be the commonest noninflammatory cause to diffuse hair loss. Since nutritional disturbances are one of the triggering factors for it. It might be useful in the management of TE Due to the limited number of studies& little information is available on this subject possible role of vitamin D or its deficiency should be studied further.

Aim of the study:  to determine the association between Telogen effl

The core objective of this paper was to diagnosis and detect the expected rotor faults in small wind turbine SWT utilize signal processing technique. This aim was achieved by acquired and analyzed the current signal of SWT motor and employed the motor current signature analysis MCSA to detect the sudden changes can have occurred during SWT operation. LabVIEW program as a virtual instrument and (NI USB 6259) DAQ were take advantage of current measurement and data processing.

Background: Chronic leg ischemia commonly affects the arteries supplying the leg and mostly caused by atherosclerosis. Triplex ultrasound scanning is useful for delineating the anatomic site of disease in the lower limb in addition to the grading of the stenosis and evaluation of post-stenotic flow.

Objectives: To determine the extent of vasculopathy in patients with chronic leg ischemia by using triplex ultrasound scanning and match the sonographic findings with the clinical signs and symptoms.

Patients and methods: A cross sectional study from October 2009 to September 2010 was performed on 56 patients with clinical suspicion of chronic leg ischemia referring to ultraso

Let R be an associative ring with identity and M be unital non zero R-module. A
submodule N of a module M is called a δ-small submodule of M (briefly N << M )if
N+X=M for any proper submodule X of M with M/X singular, we have
X=M .
In this work,we study the modules which satisfies the ascending chain condition
(a. c. c.) and descending chain condition (d. c. c.) on this kind of submodules .Then
we generalize this conditions into the rings , in the last section we get same results
on δ- supplement submodules and we discuss some of these results on this types of
submodules.

In this work, a step-index fiber with core index  and cladding index  has been designed. Single-mode operation can be obtained by using a fiber with core diameters 4–13 µm operating at a wavelength of 1.31 µm and by 4–15 µm at 1.55 µm. The fundamental fiber mode properties such as phase constant, effective refractive index, mode radius, effective mode area and the power in the core were calculated. Distributions of the intensity and the amplitude were shown.