Publications (216)
ARTICLE
Equations des algèbres Lie triple qui sont des algèbres train.
Joseph Bayara, Amidou Konkobo, Moussa Ouattara
In this paper, we consider equations of Lie triple algebras that are train algebras. We obtain two different types of equations depending on assuming the existence of an idempotent or a pseudo-idempotent.
In general Lie triple algebras are not power-associative. However we show that their train equation with an idempotent is similar to trai(...)
Lie triple algebra; Pseudo-idempotent; Jordan algebra; Peirce decomposition; Train algebra
ARTICLE
Préambule aux opérateurs Fourier intégraux: les opérateurs pseudo-différentiels
Catherine Ducourtioux, Marie Françoise Ouedraogo
Dans ce travail, nous donnons une introduction aux opérateurs pseudodifférentiels en faisant une généralisation des opérateurs différentiels. Nous étendons ensuite ces opérations aux espaces de Sobolev puis aux espaces des distributions tempérées. Par la suite, nous étudions la continuité de ces opérateurs sur les espaces de Sobolev, ce qui pe(...)
espaces de Sobolev, transformée de Fourier, opérateur pseudodifférentiel, opérateur elliptique
ARTICLE
On nilpotency in nonassociative algebras
Côme Jean Antoine Béré, Marie Françoise Ouedraogo, Moussa Ouattara
If a non associative algebra A is right nilpotent (resp. left nilpotent) of degree n, then it is strongly nilpotent of degree less or equal to 4n^2 − 2n + 1.
algèbre nonassociative, nilpotence à gauche, nilpotence à droite, nilpotence
ARTICLE
Controllability of nonlinear degenerate parabolic cascade systems
Mamadou BIRBA, Oumar TRAORE
This article studies of null controllability property of nonlinear coupled one dimensional degenerate parabolic equations. These equations form a cascade system, that is, the solution of the first equation acts as a control in the second equation and the control function acts only directly on the first equation. We prove positive null controll(...)
Null controllability; nonlinear coupled systeml Carleman inequality; observability inequality; degenerate parabolic system; Kakutani fixed point
ARTICLE
Multivalued Homogeneous Neumann Problem Involving Diffuse Measure Data and Variable Exponent
S. Ouaro, A. Ouedraogo and S. Soma
We study a nonlinear elliptic problem with homogeneous Neumann boundary condition, governed by a general Leray-Lions operator with variable expo- nents and Radon measure data which does not charge the sets of zero p(.)-capacity. We prove an existence and uniqueness result of weak solution.
Mots clés non renseignés
ARTICLE
Controllability in the α-norm of some impulsive differential equation with infinite delay in Banach spaces
Issa ZABSONRE
n this work, sufficient conditions for the controllability in the -norm of impulsive systems
with nonlocal conditions with infinite delay are established. We assume that the linear part generates a
compact analytic semigroup on a Banach space X, the delayed part is assumed to be continuous with
respect to the fractional power of the genera(...)
Mots clés non renseignés
ARTICLE
Modeling battery cells under discharge using kinetic and stochastic battery models
Ingemar Kaj, Victorien Konané
In this paper we review several approaches to mathematical modeling of simple battery cells and develop these ideas further with emphasis on charge recovery and the response behavior of batteries to given external load. We focus on models which use few parameters and basic battery data, rather than detailed reaction and material characteristic(...)
State-of-charge, Charge recovery, Probabilistic solution of PDE, Robin boundary condition, Nonlinear ODE, Battery lifetime
ARTICLE
Pseudo almost periodic and Pseudo almost automorphic solutions of class r under the light of measure theory
Issa ZABSONRE, Hamidou TOURE
The aim of this work is to present new approach to study weighted pseudo almost periodic and automorphic functions using the measure theory. We present a new concept of weighted ergodic functions which is more general than the classical one. Then we establish many interesting results on the functional space of such functions. We study the exis(...)
Mots clés non renseignés
COMMUNICATION
Constacyclic codes over F_q + uF_q + vF_q + uvF_q
Joël Kabore, Mohammed E. Charkani
Let q be a prime power and Fq be a nite eld. In this paper, we study constacyclic
codes over the ring F_q + uF_q + vF_q + uvF_q, where u2 = u; v2 = v and uv = vu: We
characterized the generator polynomials of constacyclic codes and their duals using
some decomposition of this ring.
Constacyclic code
ARTICLE
On a Class of Leibniz Algebras
Côme J.A.BÉRÉ , Aslao KOBMBAYE , Amidou KONKOBO
We pointed out the class of Leibniz algebras such that the Killing form is non degenerate implies algebras are semisimple.
Killing form; Leibniz algebras; Leibniz modules; Representations; Semisimplicity
ARTICLE
On the existence of ad-nilpotent elements
Côme Jean Antoine Béré, Marie Françoise Ouedraogo, Nakelgbamba Boukary Pilabré
Dans ce travail, nous montrons que toute algèbre de Leibniz, qui est une généralisation non commutative des algèbres de Lie, de dimension finie sur un corps algébriquement clos de caractéristique différente de 2 possède un élément ad-nilpotent non nul. Notre approche est de généraliser ces résultats connus sur les algèbres de Lie
Mots clés non renseignés
COMMUNICATION
On constacyclic codes over Z_p^m,
Mohammed Elhassani Charkani, Joël Kabore
Let p be a prime number, m = 2 a positive integer, and t a unit of R = Z_p^m, the ring of integers modulo p^m. Let
N = p^kn with gcd(p, n) = 1. In this work, we give a simple and short proof that the quotient ring R[X]I
is a principal ring. This allow us to study (1 + tp)-constacyclic codes of arbitrary length and give a characterization of(...)
Chain ring, Constacyclic codes, Dual codes, self-dual codes
ARTICLE
Sur la cohomologie des superalgèbres de Lie
MKobmbaye Aslaou, Côme Jean Antoine Béré, Marie Françoise Ouedraogo
Dans ce travail, nous démontrons quelques théorèmes de structure sur la cohomologie des superalgèbres de Lie. Nous avons aussi établi une longue suite exacte du type Hochschild-Serre et nous avons montré l’équivalence entre la nullité du premier groupe de cohomologie des superalgèbres de Lie nilpotentes et celle de l’ensemble des éléments inv(...)
superalgèbre de Lie, super-représentation, cohomologie
ARTICLE
Controllability of Some Impulsive Differential Equation with Infinite delay in Banach Spaces
Issa Zabsonre
In this work, sufficient conditions for the controllability of impulsive systems with nonlocal conditions with infinite delay are established. The results are obtained by using the Schauder fixed point theorem.
Mots clés non renseignés
ARTICLE
Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent
Stanislas Ouaro, Arouna Ouedraogo and Safimba Soma
We study a nonlinear elliptic problem with Robin type boundary condition, governed by a general Leray–Lions operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero 𝑝( ⋅ )-capacity. We prove an existence and uniqueness result of a weak solution.
Robin boundary condition, diffuse measure, Biting Lemma of Chacon, maximal monotone graph, Radon measure data, weak solution, entropic solution, Leray–Lions operator, subdifferential operator