Publications (199)
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
ARTICLE
Classification of traces and associated determinants on odd-class operators in odd dimensions
Carolina Neira Jiménez, Marie Françoise Ouedraogo
To supplement the already known classification of traces on classical pseu-dodifferential operators, we present a classification of traces on the algebras of odd-class pseudodifferential operators of non-positive order acting on smooth functions on a closed odd-dimensional manifold. By means of the one to one correspondence between continuous(...)
opérateurs pseudodifferentiels, classe impaire, trace, déterminant, logarithme
ARTICLE
The multiplicative anomaly for determinants revisited; locality
Marie Françoise Ouedraogo, Sylvie Paycha
Observing that the logarithm of a product of two elliptic operators differs from the sum of the logarithms by a finite sum of operator brackets, we infer that regularised traces of this difference are local as finite sums of noncommutative residues. From an explicit local formula for such regularised traces, we derive an explicit local formula(...)
pseudodifferential operators, noncommutative residue, canonical and weighted traces, zeta and weighted determinants
ARTICLE
WEAK SOLUTIONS FOR ANISOTROPIC NONLINEAR ELLIPTIC PROBLEM WITH VARIABLE EXPONENT AND MEASURE DATA
Blaise Kone , Stanislas Ouaro and Safimba Soma
We study in this paper the anisotropic nonlinear boundary value problem
N ∂ ∂u
− ∑∂x ai x,∂x =μ in Ω, u=0 on ∂Ω, where Ω is a smooth bounded open
i=1i i
domain in RN , N ≥ 3 and μ a bounded Radon measure. We prove the existence of a weak energy solution for this anisotropic nonlinear elliptic problem with different vari- able exponents,(...)
Generalized Lebesgue-Sobolev spaces, anisotropic Sobolev spaces, weak solution, bounded Radon measure, electrorheological fluids, Marcinkiewicz spaces
ARTICLE
Weak and entropy solutions to nonlinear Neumann boundary-value problems with variable exponents
Stanislas Ouaro and Safimba Soma
In this article, we study the following nonlinear Neumann boundary-value problem diva(x,ru)þjujp(x)2 u1⁄4f in , @u 1⁄4 0 on @, where is a
@
smooth bounded open domain in RN, N 3, @u is the outer unit normal @
derivative on @, div a(x, ru) a p(x)-Laplace type operator. We prove the existence and uniqueness of a weak solution for(...)
generalized Lebesgue and Sobolev spaces, weak solution, entropy solution, p(x)-Laplace operator
ARTICLE
Uniqueness of traces on log-polyhomogeneous pseudodifferential operators
Catherine Ducourtioux, Marie Françoise Ouedraogo
We show how to derive the uniqueness of graded or ordinary traces on some algebras of log-
polyhomogeneous pseudodifferential operators from the uniqueness of their restriction to classical
pseudodifferential ones
log-polyhomogeneous pseudodifferential operators
ARTICLE
A symmetrized canonical determinant on odd-class pseudodifferential operators
Marie Françoise Ouedraogo
Inspired by M. Braverman’s symmetrized determinant, we introduce a symmetrized logarithm logsym for certain elliptic
pseudodifferential operators. The symmetrized logarithm of an operator lies in the odd class whenever the operator does. Using the canonical trace extended to log-polyhomogeneous pseudodifferential operators, we define an assoc(...)
pseudodifferentiels operateurs, symmetrized trace, symmetrized determinant, holomorphic familly