Publications (205)
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
ARTICLE
Pseudo Almost Automorphic Solutions of class r for Some Neutral Partial Functional Differential Equations
Khalil Ezzinbi, Hamidou Toure, Issa Zabsonre
The aim of this work is to investigate the existence and uniqueness of pseudo almost automorphic solutions for some neutral partial functional differential equations in a Banach space when the delay is distributed. Here we assume that the underlayed part is not necessarily densely defined and satisfies the well-known Hille–Yosida condition, th(...)
Mots clés non renseignés
ARTICLE
Pseudo Almost Periodic Solutions of class r for Some Neutral Partial Functional Differential Equations
Khalil Ezzinbi, Hamidou Toure, Issa Zabsonre
The aim of this work is to investigate the existence and uniqueness of pseudo almost periodic solutions of class r for some neutral partial functional differential equations in a Banach space when the delay is distributed using the variation of constants formula and the spectral decomposition of the phase space developed in Adimy et al. (Can A(...)
Mots clés non renseignés
ARTICLE
Stability analysis of a schistosomiasis model with delays
Aboudramane Guiro, Stanislas Ouaro, Ali Traoré
In this work, a nonlinear deterministic model for schistosomiasis transmission including delays with two general incidence functions is considered. A rigorous mathematical analysis is done. We show that the stability of the disease-free equilibrium and the existence of an endemic equilibrium for the model are stated in terms of key threshold p(...)
Mots clés non renseignés
ARTICLE
Pseudo Almost Periodic Solutions of infinite class for Neutral Partial Functional Differential Equations with infinite delay
Khalil Ezzinbi and Issa Zabsonre
The aim of this work is to investigate the existence and uniqueness of pseudo almost periodic solutions for some neutral partial functional differential equations in a Banach space when the delay is distributed using the variation of constants formula and the spectral decomposition of the phase space developed in Adimy et al. [M. Adimy, K. Ezz(...)
Mots clés non renseignés
ARTICLE
An existence result for impulsive functional differential equations with variable times
Khalil Ezzinbi, Hamidou Toure, Issa Zabsonre
In this work, a Schaefer fixed-point theorem is used to investigate the existence of solutions for first order impulsive functional differential with variable times.
Mots clés non renseignés
ARTICLE
Algèbres de Lie triple sans idempotent
Joseph Bayara, Amidou Konkobo, Moussa Ouattara
Idempotents play an important role in the investigation of nonassociative algebras structure ([2],[18],,[21]). However, the existence of such elements is not always guaranteed, specially when dealing with algebras that are defined by polynomial identities. Hence, in many cases, one has to assume the existence of idempotents $([3,11,17])$ in or(...)
Lie triple algebra, pseudo-idempotent, Jordan algebra, Peirce decomposition
ARTICLE
Entropy solution to nonlinear multivalued elliptic problem with variable exponents and measure data
Ismae ̈l Nyanquini, Stanislas Ouaro, and Safimba Soma
We study a nonlinear elliptic problem governed by a general Leray-Lions operator
with variable exponents and diffuse Radon measure data that does not charge the sets of zero
p(.)-capacity. We prove a decomposition theorem for these measures (more precisely, as a sum ′
of a function in L1(Ω) and of a measure in W−1,p (.)(Ω)) and an existence(...)
Diffuse measure, biting lemma of Chacon, maximal monotone graph, Radon measure data, weak solution, entropy solution, Leray-Lions operator
ARTICLE
Existence and Controllability Results for Some Impulsive Partial Functional Differential Inclusion
Issa Zabsonre, Gilbert Bayili, Khalil Ezzinbi,
In this work, we prove the existence of mild and extremal mild solutions for first-order semilinear non densely defined impulsive functional differential inclusions in separable Banach spaces with local and nonlocal conditions. Firstly, we show the existence of mild and extremal solutions. Secondly, we study the controllability of a semilinear(...)
Mots clés non renseignés
ARTICLE
Elliptic problem involving diffuse measure data
Noureddine Igbida, Stanislas Ouaro and Safimba Soma
In this paper, we study a suitable notion of solution for which a nonlinear elliptic problem governed by a general Leray–Lions operator is well posed for any diffuse measure data. In terms of the paper (Brezis et al., 2007, [10]), we study the notion of solution for which any diffuse measure is “good measure”.
Nonlinear elliptic, Diffuse measure, Biting lemma of Chacon, Maximal monotone graph, Radon measure data, Weak solution, Entropic solution, Leray–Lions operator
ARTICLE
Analytical and Stochastic Modelling of Battery Cell Dynamics
Ingemar Kaj; Victorien Konané
In this work we present and discuss a modelling framework for the basic discharge process which occurs in simple electrochemical battery cells. The main purpose is to provide a setting for analyzing delivered capacity, battery life expectancy and other measures of performance. This includes a number of deterministic and stochastic variations o(...)
Phase plane, Theoretical Capacity, Terminal Voltage, Nominal Capacity, Battery Model
ARTICLE
Weak solutions for some nonlinear elliptic problem with variable exponent and measure data
Stanislas Ouaro and Safimba Soma
We prove the existence of weak solutions to nonlinear elliptic equations with variable exponent and measure data. The functional setting involves Lebesgue-Sobolev spaces with variable exponent and Marcinkiewicz spaces.
generalised Lebesgue-Sobolev spaces, weak solution, bounded Radon measure, p(x)-Laplace operator, electrorheological fluids, Marcinkiewicz spaces