Publications scientifiques: Recent submissions

  • On the spectral boundary value problems and boundary approximate controllability of linear systems 
    Khaldi, Nassima; Benharrat, Mohammed; Messirdi, Bekkai (Rendiconti del Circolo Matematico di Palermo, 2014-04-01)
    The main subject of this paper is the study of a general spectral boundary value problems with right invertible (resp. left invertible) operators and corresponding initial boundary operators. The obtained results are ...
  • New results on the closedness of the product and sum of closed linear operators 
    AZZOUZ, ABDELHALIM; MESSIRDI, BEKKAI; DJELLOULI, GHOUTI (Bull. Math. Anal. Appl, 2011-09-01)
    In this paper we give some topological conditions which ensure the closedness of the sum and product of two closed linear operators acting in a Hilbert space. We get also a general result on the formula of the adjoint (well ...
  • Parametrix du Problème de Cauchy C-infinity Hyperbolique Muni d'un Système d'Ordres de Leray-Volevîc 
    Messirdi, Bekkai; Senoussaoui, Abderrahmane (Zeitschrift für Analysis und ihre Anwendungen, 2005-09-30)
    Using algebrically conditions of localization and strict hyperbolicity, we construct a matrix of Fourier integral operators. The symbols of these operators and their traces allow to deduce the parametrix of C1 associated ...
  • On Different products of closed operators 
    Messirdi, Bekkai; Mortad, Mohammed Hichem (Banach J. Math. Anal, 2008-01-01)
    The purpose of this work is to give different products of closed operators together with their faults and assets.
  • Some stronger topologies for closed operators in Hilbert space 
    Djellouli, Ghouti; Messirdi, Sanaa; Messirdi, Bekkai (Int. J. Contemp. Math. Sciences, 2010)
    The purpose of this paper is to introduce some new metrics on the set C(H) of closed densely defined operators on a Hilbert space H and we characterize the closure of the subset of bounded elements of C(H) for these ...
  • Quotient operators: new generation of linear operators 
    Gherbi, Abdellah; Messirdi, Bekkai; Benharrat, Mohammed (Funct. Anal. Approx. Comput, 2015)
    In this paper we attempt to investigate some algebraic and topological properties of quotient operators acting on Hilbert space, and to give a characterization of Fredholm quotient operator and its index.
  • A class of generalized integral operators. 
    Messirdi, Bekkai; Bekkara, Samir; Senoussaoui, Abderrahmane (Electronic Journal of Differential Equations (EJDE)[electronic only], 2009)
    In this paper , we introduce a class of generalized integral operators that includes Fourier integral operators . We establish some conditions on these operators such that they do not have bounded extension on L2(Rn): ...
  • Stability of almost closed operators on a Hilbert space 
    Messirdi, SANAA; Djaa, MUSTAPHA; Messirdi, BEKKAI (Sarajevo J. of Math, 2009)
    We introduce the notion of almost closed linear operators acting in a Hilbert space. This class of operators contains the set of all closed linear operators and is invariant under addition, composition and limits.
  • A topological characterization of the product of two closed operators 
    Messirdi, Bekkai; Mortad, Mohammed Hichem; Azzouz, Abdelhalim; Djellouli, Ghouti (Colloquium Mathematicum, 2008)
    The purpose of this work is to give a topological condition for the usual product of two closed operators acting in a Hilbert space to be closed
  • Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent. 
    Bouchekif, Mohammed; EO El Mokhtar, Mohammed (Electronic Journal of Differential Equations (EJDE)[electronic only], 2011)
    We prove the existence and multiplicity of solutions for a nonhomogeneous elliptic equation involving decaying cylindrical potential and critical exponent.
  • Méthode BKW formelle et spectre des molécules polyatomiques dans l'approximation de Born Oppenheimer 
    Messirdi, Bekkai; Senoussaoui, Abderrahmane (Canadian Journal of Physics, 2001-04-01)
    We studied the spectrum of P D −h21x − 1y C V .x; y/ on L2 􀀀 IR3n x IR3p y ; when h tends to zero; n 2; p 2 IN ; in the case where the potential V .x; y/ is singular and of Coulomb type and the first ...
  • On the generalized Kato spectrum 
    Benharrat, Mohammed; Messirdi, Bekkai (Serdica Mathematical Journal, 2011)
    We show that the symmetric difference between the generalized Kato spectrum and the essential spectrum defined in [7] by sec(T) = {l О C ; R(lI-T) is not closed } is at most countable and we also give some relationship ...
  • On certain nonlinear elliptic systems with indefinite terms. 
    Bensedik, Ahmed; Bouchekif, Mohammed (Electronic Journal of Differential Equations (EJDE)[electronic only], 2002)
    The purpose of this article is to nd positive solutions to the system 􀀀 pu = m(x)@H @ u(u; v) in 􀀀 qv = m(x)@H @ v(u; v) in (1:1) u = v = 0 on@ where is a bounded regular domain of RN; with a smooth ...
  • On the L2-boundedness and L2-compactness of a class of Fourier integral operators 
    Messirdi, Bekkai; Senoussaoui, Abderrahmane (Electronic Journal of Differential Equations, 2006-01-01)
    In this paper, we study the L 2-boundedness and L2-compactness of a class of Fourier integral operators. These operators are bounded (respectively compact) if the weight of the amplitude is bounded (respectively tends to 0).
  • On the Kato, semi-regular and essentially semi-regular spectra 
    Benharrat, Mohammed; Ammar, Aymen; Jeribi, Aref; Messirdi, Bekkai (Functional Analysis, Approximation and Computation, 2015-02-16)
    In this paper, we give some properties of the semi-regular, essentially semi-regular and the operators of Kato type on a Banach space. We also show that the essentially semi-regular spectrum of closed, densely defined ...
  • Symmetry and uniqueness of positive solutions for a Neumann boundary value problem 
    Bensedik, Ahmed; Bouchekif, Mohammed (Applied mathematics letters, 2007-04-01)
    This work deals with the existence and symmetry of positive solutions for a Neumann boundary value problem. It is a generalization of the work of Pedro J. Torres. The main result is the uniqueness of positive solutions, ...
  • Asymptotique de Born-Oppenheimer pour la prédissociation moléculaire (cas de potentiels réguliers) 
    Messirdi, Bekkai (Annales de l'IHP Physique théorique, 1994)
    On étudie l’opérateur P=-h2 Ox-Dy+ Y (x,~/) sur R~ x R~ lorsque h tend vers 0, et V est un potentiel régulier. On se place dans un cas où deux niveaux électroniques se croisent dans la zone classiquement interdite, et où ...
  • Multiple positive solutions for elliptic equations involving a concave term and critical Sobolev–Hardy exponent 
    Bouchekif, M; Matallah, A (Applied Mathematics Letters, 2009-02-01)
    In this paper, we establish the existence of multiple positive solutions for elliptic equations involving a concave term and critical Sobolev Hardy exponent.
  • ACTIVATION DE DEUX ALGUES MEDITERRANEENNES PAR DIVERSES METHODES POUR L’ELIMINATION DE COLORANTS 
    ATTOUTI, Salima (2013)
    In the present work, two marine algae namely Ulva lactuca and Cystoseira stricta, were chemically midified by HCl, CaCl2 and H3PO4 in order to obtain adsorbants capable of removing two hazardous cationic dyes from wastewaters. ...
  • Culture planétaire et identités frontalières. À propos du rap en Algérie 
    Miliani, Hadj (Cahiers d’études africaines, 2002-01-01)
    À travers le cas de la chanson rap qui s’est développée en Algérie au cours des années 1990, cet article tente de décrire quelques effets de l’interaction entre expressions culturelles transnationales et pratiques symboliques ...

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