In this paper the Galerkin method is used to prove the existence and uniqueness theorem for the solution of the state vector of the triple linear elliptic partial differential equations for fixed continuous classical optimal control vector. Also, the existence theorem of a continuous classical optimal control vector related with the triple linear equations of elliptic types is proved. The existence of a unique solution for the triple adjoint equations related with the considered triple of the state equations is studied. The Fréchet derivative of the cost function is derived. Finally the theorem of necessary conditions for optimality of the considered problem is proved.

Oscillation criterion is investigated for all solutions of the first-order linear neutral differential equations with positive and negative coefficients. Some sufficient conditions are established so that every solution of eq.(1.1) oscillate. Generalizing of some results in [4] and [5] are given. Examples are given to illustrated our main results.

Abstract

The twentieth century French novel had undergo a significant change that took the form of a radical move from the traditional son who follows his father to one who no way prevalent in the classical French novel. The new son in the 2Oth century novel finds himself emotionally attached which both became a new trend and approach in novel writing.

Marcel Proust's novel which can be considered a source of inspiration for most of 2Oth century novelists is a good example of the mother supremacy which is crystal clear from the first page through its parts and chapters till the last page. In fact, Proust had written a completely different novel from the Balzacian conventions. Unlike the latter's novels, Pro

Dans le romantisme et ses textes, il est important de mentionner qu'il n'existe qu'un seul thème romantique qui est l'amour, mais assez pour avoir fait du XIXème siècle, une révolution du texte romantique. L'amour consiste à la réduction de l'univers, à un seul être, puis la dilatation de ce seul être, voilà l'amour. cet amour passionnel n'est qu'un arrangement froid et réfléchi excluant d'emblée l'exaltation des sentiments. Néanmoins, cet amour passionnel peut être brutal. quant à la mort, dans le drame romantique, l'amour et la mort sont liés. Beaucoup d'histoires d'amour finissent le plus souvent par un suicide passionnel : le romantique cherche à l'atteindre par l'amour un sentiment sanctifié, et divinisé ; mais c

!'hi_,  i1rycsligation  was  carried   ou1 dn J)Ct'iphcral  blom.l s_amplc:s.

wl1ich wendrawi·1  ih)rl1 patients  w.ith  l)1).hoid !'ever. Fifteen  palic111 nging ]5- 45 years old .<iS vvdl as ten sample::.  w:cr: c·ollec ted from healthy   persons-al     the  same   range  of   age.   Sera   were   used   t'or csti niation   the  act i vity  and   sp ci fie  activity  of  t\LJ.A.  The   resuJts sho:«"'d            sig11ltl'c u1t  increase i11&

In this study, a new technique is considered for solving linear fractional Volterra-Fredholm integro-differential equations (LFVFIDE's) with fractional derivative qualified in the Caputo sense. The method is established in three types of Lagrange polynomials (LP’s), Original Lagrange polynomial (OLP), Barycentric Lagrange polynomial (BLP), and Modified Lagrange polynomial (MLP). General Algorithm is suggested and examples are included to get the best effectiveness, and implementation of these types. Also, as special case fractional differential equation is taken to evaluate the validity of the proposed method. Finally, a comparison between the proposed method and other methods are taken to present the effectiveness of the proposal meth

Cuáles son los escritores que aun triunfan en España? ¿A cuáles tendencias o escuelas representan? ¿Todavía mantiene prestigio fecundo en el estudio literario? A todas tales preguntas queríamos ofrecer nuestro planteamiento investigativo en la página de las más importantes de la literatura española contemporánea, pero según nuestro punto de ver a las cosas.
La panorámica de la literatura española a partir del año 1860 no ofrece un tema o un estilo mutuamente románticos, aun cuando en este romanticismo decaído ya se advierten muy acusados los tones que se decoloran y los dibujos que se desvanecen. De esta realidad surge la necesidad del toque tan importante como el de Ramón del Valle Inclán cuya obra se encuentra nue

حزب العمال الكردستاني ودوره في تطوير القضية الكردية في تركيا من 1991-2013