Publications (197)
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An existence result for impulsive functional differential equations with variable times
Khalil Ezzinbi, Hamidou Toure, Issa ZabsonreIn this work, a Schaefer fixed-point theorem is used to investigate the existence of solutions for first order impulsive functional differential with variable times.
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Algèbres de Lie triple sans idempotent
Joseph Bayara, Amidou Konkobo, Moussa OuattaraIdempotents 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...
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Entropy solution to nonlinear multivalued elliptic problem with variable exponents and measure data
Ismae ̈l Nyanquini, Stanislas Ouaro, and Safimba SomaWe 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...
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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....
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Elliptic problem involving diffuse measure data
Noureddine Igbida, Stanislas Ouaro and Safimba SomaIn 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...
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Analytical and Stochastic Modelling of Battery Cell Dynamics
Ingemar Kaj; Victorien KonanéIn 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...
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Weak solutions for some nonlinear elliptic problem with variable exponent and measure data
Stanislas Ouaro and Safimba SomaWe 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.
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Classification of traces and associated determinants on odd-class operators in odd dimensions
Carolina Neira Jiménez, Marie Françoise OuedraogoTo 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...
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The multiplicative anomaly for determinants revisited; locality
Marie Françoise Ouedraogo, Sylvie PaychaObserving 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...
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WEAK SOLUTIONS FOR ANISOTROPIC NONLINEAR ELLIPTIC PROBLEM WITH VARIABLE EXPONENT AND MEASURE DATA
Blaise Kone , Stanislas Ouaro and Safimba SomaWe 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...
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Weak and entropy solutions to nonlinear Neumann boundary-value problems with variable exponents
Stanislas Ouaro and Safimba SomaIn 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...
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Uniqueness of traces on log-polyhomogeneous pseudodifferential operators
Catherine Ducourtioux, Marie Françoise OuedraogoWe 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
ARTICLE
A symmetrized canonical determinant on odd-class pseudodifferential operators
Marie Françoise OuedraogoInspired 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...
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Local existence and regularity of solutions for some partial functional integrodifferential equations with infinite delay in Banach Spaces
Khalil Ezzinbi, Hamidou Toure, Issa ZabsonreIn this work, we study the existence and regularity of solutions for some partial functional integrodifferential equations with infinite delay in Banach spaces. We suppose that the undelayed part admits a resolvent operator in the sense of Grimmer [R. Grimmer, Resolvent operators for integral...
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Existence and regularity of solutions for some partial functional integrodifferential equations in Banach spaces
Khalil Ezzinbi, Hamidou Toure, Issa ZabsonreIn this work, we study the existence and regularity of solutions for some partial functional integrodifferential equations in Banach spaces. We suppose that the undelayed part admits a resolvent operator in the sense given by Grimmer in [R. Grimmer, Resolvent operators for integral equations in...