Publications (392)
ARTICLE
Local existence and regularity of solutions in alpha-norm for some partial functional integrodifferential equations in Banach spaces
Djendode Mbainadji and Issa Zabsonre
By using the resolvent operator theory in the sense given by Grimmer in [1], we prove the existence and regularity of solutions in α-norm for some partial functional integrodifferential equations in Banach spaces. We firstly show the existence of the mild solutions and give some conditions for the existence of strict solutions.
Mots clés non renseignés
ARTICLE
NUMERICAL ANALYSIS OF NONLINEARELLIPTIC-PARABOLIC PROBLEMS WITH VARIABLE EXPONENT AND L^1 DATA
Stanislas Ouaro, Noufou Rabo and Urbain Traoré
In this paper, we make the numerical analysis of the mild solution of elliptic-parabolic problem with variable exponent and L1-data. The functional setting involves Lebesgue and Sobolev spaces with variable exponents.
elliptic-parabolic equation, numerical, iterative method, variable exponent, mild solution, renormalized solution
ARTICLE
Square-mean pseudo almost periodic solutions of class r under the light of measure theory
MOHAMADO KIEMA AND ISSA ZABSONRE
The aim of this work is to present new concept of square-mean pseudo almost periodic of class r using the measure theory. We use the ergodic process to define the spaces of pseudo almost periodic processes of class r in the square-mean sense. We present many interesting results on those spaces like completeness and composition theorems
and we(...)
Mots clés non renseignés
ARTICLE
A mathematical analysis of prey-predator population dynamics in the presence of an SIS infectious disease
Savadogo, Assane; Sangaré, Boureima; Ouedraogo, Hamidou
n this paper, we propose and analyze a detailed mathematical model describing the dynamics of a preypredator model under the influence of an SIS infectious disease by using nonlinear differential
equations. We use the functional response of ratio-dependent Michaelis-Menten type to describe the
predation strategy. In the presence of the di(...)
Mots clés non renseignés
ARTICLE
STUDY OF A DISCRETE CLASS OF SCHISTOSOMIASIS MODELS WITH DELAY AND GENERAL INCIDENCE
HAROUNA OUEDRAOGO*, ALI TRAORE AND ABOUDRAMANE GUIRO
A nonlinear deterministic discrete model for schistosomiasis transmission including delays with general incidence functions is derived. The discrete model is obtained by used the backward Euler method. The basic properties of the model are studied. The basic reproduction number R0 of the model is computed and we established that for R0 1 the(...)
Schistosomiasis, discrete mathematical model, Lyapunov function, delays, reproduction number, stability
ARTICLE
Renormalized solutions for a p(·)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent
M. B. Benboubker E. Nassouri, S. Ouaro, U. Traoré
In this paper we prove the existence of at least one renormalized solution for the p(x)-Laplacian equation associated with a maximal monotone operator and Radon measure data. The functional setting involves Sobolev spaces with variable exponent W^{1,p(·)}(Ω).
variable exponent, maximal monotone operator, Radon measure , renormalized solution, Neumann boundary conditions.
ARTICLE
Suitable Radon measure for nonlinear Dirichlet boundary p(u)-Laplacian problem.
S. Ouaro, N. Sawadogo
This paper is devoted to the study of nonlinear homogeneous Dirichlet boundary p(u)-Laplacian problem. Existence, uniqueness and structural stability results of weak solutions are obtained by approximation method and convergent sequences in terms of Young measures
p(u)-Laplacian; Dirichlet condition; existence; uniqueness
ARTICLE
Existence and regularity of solutions in alpha-norm for some nonlinear second order differential equation in Banach Spaces
Issa ZABSONREy Hamidou TOURE and Boris HADA
Using the theory of cosine family, we prove the existence and regularity of solutions for some nonlinear second order differential equation in -norm. The delayed part is assumed to be locally lipschitz.
Mots clés non renseignés
ARTICLE
Boundedness of Nonregular Pseudo-differential Operators on Variable Exponent Triebel-Lizorkin-Morrey Spaces
Mohamed Congo, Marie Françoise Ouedraogo
In this paper, we study the boundedness of non regular pseudo-differential operators on variable exponent Besov-Morrey spaces with symbols a(x, ξ) belonging to C_∗^ℓ S1,δ. For these symbols x-regularity is measured in Hölder-Zygmund spaces
Pseudo-differential operators, Non regular symbols
ARTICLE
Numerical analysis of nonlinear parabolic problems with variable exponent and L1 data
S. Ouaro, N. Rabo, U. Traoré
In this paper, we make the numerical analysis of the mild solution which is also an entropy solution of parabolic problem involving the p(x)-Laplacian operator with L1-data
elliptic-parabolic; numerical iterative method; variable exponent; mild solution; renormalized solution
ARTICLE
FINITE TIME RUIN PROBABILITY IN MULTIVARIATE PERTURBED RENEWAL RISK MODEL
Frédéric Béré, Remi Guillaume Bagré, Vini Yves Bernadin Loyara and Pierre Clovis Nitiéma
This paper contributes to the approach of the bivariate risk of ruin in finite time. We deal with a problem of risk of occurrence of a claim from the Cramer-Lundberg model in which there is some by-claim (more or less zero) integrating a Brownian oscillation at the level of the reserve at a given time t.
We evaluate the probability of bivaria(...)
stable distribution, Brownian perturbation, by-claim, heavy tail distribution, renewal equation
ARTICLE
On the palindromic zl-factorization and c-factorization of the generalized period-doubling sequences
Moussa Barro, K. Ernest Bognini, Idrissa Kaboré
In this paper, we study period-doubling sequences over an ordered alphabet of size q ≥ 2. We present properties of these words relative to the structure of their palindromic factors. The explicit formulas of the palindromic Ziv-Lempel factorization and the palindromic Crochemore factorization based on the combinatorial structure of infinite se(...)
palindrome, factorization, period-doubling sequence
ARTICLE
C^n-pseudo almost automorphic solutions of class r for neutral partial functional differential equations under the light of measure theory
Micailou NAPO, Issa ZABSONRE, Gilbert BAYILI
The aim of this work is to present new approach to study C^n pseudo almost automorphic solutions of class r for some neutral partial functional di erential equations in a Banach space when the delay is distributed. We use the variation of constants formula and the spectral decomposition of the phase space.
Mots clés non renseignés
ARTICLE
A study of stability of SEIHR model of infectious disease transmission
Harouna Ouedraogo *, Dramane Ouedraogo, Idrissa Ibrango, and Aboudramane Guiro
We develop in this paper a Susceptible Exposed Infectious Hospitalized and Recovered (SEIHR), spread model. In the model studied, we introduce a recruitment constant, to take into account the fact that newborns can transmit disease. The disease-free and endemic equilibrium points are computed and analyzed. The basic reproduction number R0 is a(...)
Compartmental modeling, recruitment, infectious disease, reproduction number, equilibria, stability analysis, numerical simulation