Publications (459)
ARTICLE
STABILITY FOR SHEAR BEAM MODEL AND NEWFACTS RELATED TO THE CLASSICALTIMOSHENKO SYSTEM WITH VARIABLE DELAY
Innocent OUEDRAOGO, Gilbert BAYILI
In this paper we study a Timoshenko type beam model with a variable delay. It is mainlyabout, on the one hand, a study of the existence and uniqueness of the solution and on the otherhand, to present a study of exponential stability of the obtained solution. The introduction of thevariable delay term is the added value brought by this work.
Timoshenko system, Exponential stability, Faedo Galerkin Method, Time delay
ARTICLE
Mathematical analysis and optimal control of dengue fever epidemic model
YODA Yacouba, OUEDRAOGO Harouna , OUEDRAOGO Dramane and GUIRO Aboudramane
In this article, we are working on an SEIR-SI type model for dengue disease in order to
better observe the dynamics of infection in human beings. We calculate the basic
reproduction number R0 and determine the equilibrium points. We then show the
existence of global stability in each of the different states depending on the value of
R0(...)
Mots clés non renseignés
ARTICLE
Polynomial stabilization of the wave equation with a time varying delay term in the dynamical control.
Désiré Saba, Bayili Gilbert, Serge Nicaise
We consider the one-dimensional wave equation with a time-varying delay term in the dynamical control. Under suitable assumptions, we show the well posedness of the problem. These results are obtained by using semi-group theory. Combining the multiplier method with a non linear integral inequality, a rational energy decay result of the system(...)
Dynamical control Stability, Time varying delay
ARTICLE
SPATIO-TEMPORAL MATHEMATICAL MODELING OF INFECTIOUS DISEASES WITH CROSS DIFFUSION EFFECTS
SAFIMBA SOMA , SIAKA KAMBELE and ABOUDRAMANE GUIRO
In this paper, we study analytically a class of nonlinear parabolic reaction- diffusion systems modeling the spread of infectious diseases with cross- diffusion terms. This model is governed by an S-I-R type system. First, we
prove the global existence of weak solution to this class of system by means of an approximation process, the Faedo-Ga(...)
Keywords and phrases: infectious diseases, S-I-R model, cross-diffusion system, weak solutions, Faedo-Galerkin.
ARTICLE
A well-defined Godunov-type scheme in a Navier-Stokes model with a friction term
Jules Ouya , Arouna Ouédraogo
In this paper, particular attention is paid to Godunov-type numerical scheme for solving partial differential equations. We numerically approximate the weak solutions of the Navier-Stokes problem in the compressible case in one dimension of space with a friction term. The solutions of this model exhibit various properties that must be maintain(...)
Navier-Stokes equations, steady states, Godunov-type scheme, entropy inequality, compressible equations
ARTICLE
THE EXISTENCE OF THREE POSITIVE SOLUTIONS OF NONHOMOGENEOUS SINGULAR KIRCHHOFF PROBLEMS
Rabo Noufou, Ouaro Stanislas
In the present paper, we establish two results of the existence of three solutions for a quasilinear problem involving singular (of the type u−δ) and non- local terms. The first concern the case where δ 0 in the singular term whereas the second present a strongly-singular nonlinearity (δ 1)
Mots clés non renseignés
ARTICLE
C^n-pseudo almost periodic solutions under the light of measure theory
MICAILOU NAPO AND ISSA ZABSONRE
The aim of this work is study some properties and the existence of solution of some C^npseudo almost periodic solutions of class r in a Banach space when the delay is distributed using the variation of constants formula and the spectral decomposition of the phase space.
measure theory, C^n--pseudo almost periodic function, delay differential equations
ARTICLE
Nonlinear problem having natural growth term and measure data
Konaté Ibrahime, Idrissa Ibrango, Ouaro Stanislas
The aim of this paper is to study the existence of solutions of multi- valued nonlinear elliptic problems involving the natural growth term, measure data and the general p(.)-Leray-Lions type operator. Using a decomposition of Radon diffuse measure due to Nyanquini et al.(see [26]) and approximation method, we construct an approximate problem(...)
Mots clés non renseignés
ARTICLE
Pseudo lmost periodic solutions of infinite class in the α-norm under the light of measure theory
DJENDODE MBAINADJI, DJOKATA VOTSIA AND ISSA ZABSONRE
The aim of this work is to study weighted pseudo almost periodic functions with infinite delay via measure theory. Using the Banach fixed point theorem and the techniques of fractional powers of an operator, we establish the existence and uniqueness of pseudo almost periodic solutions in the alpha-norm of the infinite class for some functiona(...)
Mots clés non renseignés
ARTICLE
ON 3D COMPRESSIBLE PRIMITIVE EQUATIONS APPROXIMATION OF ANISOTROPIC NAVIER-STOKES EQUATIONS: RIGOROUS JUSTIFICATION
Jules Ouya , Arouna Ouédraogo
In this paper, we obtain the 3D compressible primitive equations approximation without gravity by taking the small aspect ratio limit to the Navier-Stokes equations in the isothermal case with gravity. The aspect ratio (the ratio of the depth to horizontal width) is a geometrical constraint in general large scale geophysical motions that the v(...)
anisotropic Navier-Stokes, equations, aspect ratio limit, compressible primitive equations.
ARTICLE
ASYMPTOTIC EXPANSIONS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS
KABORE Bruno, BELLA Boureima, LY Ibrahim
We propose an asymptotic solution related to a Cauchy problem for an elliptic
equation or system with data on a part of the boundary within solving operators
of Zaremba type mixed boundary problems.
Cauchy problem, variational problems
ARTICLE
On the multiplicity of solutions of a discrete Robin problem with variable exponents
Moussa Brahim, Nyanquini Ismaël, Ouaro Stanislas
In this paper, we prove the existence and multiplicity of solutions of a discrete Robin problem with variable exponents in a T-dimensional Banach space. The proofs of our main results are based on variational methods
Mots clés non renseignés
ARTICLE
STRUCTURAL STABILITY OF p(x)-LAPLACIAN KIND PROBLEMS WITH MAXIMAL MONOTONE GRAPHS AND NEUMANN TYPE BOUNDARY CONDITION
Kansié Kpè, Ouaro Stanislas
In this work, we study the convergence of a sequence of solutions of degenerate elliptic problems with variable coercivity and growth exponents. The functional setting involves Lebesgue and Sobolev spaces with variable ex- ponent which varies also with n
Mots clés non renseignés
ARTICLE
Resolution of the Standard Telegraph Equation by the Laplace-Adomian Method
MINOUNGOU Youssouf, BAGAYOGO Moussa ,PARE Youssouf
In this paper, we resarch the solution of the standard telegraph equation by the Laplace-Adomian method.
The Laplace-Adomian method is based on the combination of Laplace transform and the Adomian
decompositionnal method.
Telegraph equation, Laplace transform, ADM method
ARTICLE
GERBER-SHIU ANALYSIS ON A PERTURBED RISK MODEL WITH TAIL DEPENDENCE VIA SPEARMAN COPULA BETWEEN CLAIM SIZE AND CLAIM ARRIVAL TIMES
Lassané Sawadogo, Delwendé Abdoul-Kabir Kafando, Frédéric Béré, Mahamoudou Ouedraogo
Building on a risk model with dependence between claim amounts and inter-claim times perturbed by Brownian motion, this article presents two major contributions (see [1]). First, explicit formulas for ruin probabilities are derived, increasing the practical applicability of the model. Second, extensive numerical simulations enrich the analysis(...)
Fonctions de Gerber-Shiu, dépendance, copule, équation intégro-différentielle, transformation de Laplace, probabilité de ruine