Publications (205)
ARTICLE
Existence and regularity of solutions in α-norm for some second order partial neutral functional differential equations with finite delay in Banach spaces
DJENDODE MBAINADJI, AL-HASSEM NAYAM AND ISSA ZABSONRE
In this paper, we investigate the regularity and existence of solutions in the α-norm for some second order partial
neutral functional differential equations with finite delay in Banach spaces. To do this, we use the cosine families theory and Schauder’s fixed point theorem to establish the existence of solutions and then we give some suffici(...)
Mots clés non renseignés
ARTICLE
MULTIPLICITY OF HETEROCLINIC SOLUTIONS FOR THE DISCRETE p(k)-LAPLACE KIRCHHOFF TYPE EQUATIONS WITH A PARAMETER
Moussa Brahim, Nyanquini Ismaël, Ouaro Stanislas
In this paper, we prove the existence of at least one and at least two nontrivial heteroclinic solutions for the discrete p(k)-Laplace Kirchhoff type equations depending on a parameter. The proof of our main result is based on a local minimum theorem for differentiable functionals due to Ricceri and on the mountain pass theorem of P. Pucci and(...)
Mots clés non renseignés
ARTICLE
NUMERICAL RESOLUTION OF THE BIOLOGICAL POPULATION MODEL BY THE SBA METHOD
Bamogo Hamadou, Francis Bassono, Traoré André
We solve a population dynamics model applied to the case of the biological population with non-linear partial differential parabolic equations and illustrate the method by consirering two examples.
biological population, fractional equation, SOME blaise ABBO, method, fractional partial differential equations
ARTICLE
Stabilization of a Microbeam System with a Boundary or Internal Distributed Delay
Désiré Saba, Akram Ben Aissa, Gilbert Bayili
In this paper, we consider the microbeam system with distributed delay term on
the boundary or into the domain. In both cases, and thanks to a clever combination of spectral
decomposition theory of Sz-Nagy-Foias [18] and frequency domain approach and under some
additional and suitable assumptions, we prove the exponential stability of the t(...)
Distributed delay term, microbeam system, Feedback boundary stabilization, strong stability
ARTICLE
Simulation mathématique de la sélection d’une variété de papaye
Sougoursi Jean Yves ZARE1, Zoïnabo SAVADOGO
Le secteur agricole en général représente une part importante de l’économie du Burkina Faso. Ce secteur à
lui seul contribue à près de 35% du PIB. L’arboriculture y occupe une place de choix. Cependant, ce secteur
souffre d’une faible productivité due entre autres à la non maitrise des techniques de production et de
sélection de semences(...)
Mots clés non renseignés
ARTICLE
On Existence of Entropy Solution for a Doubly Nonlinear Differential Equation with L1-Data
Safimba Soma and Mohamed Bance
We consider a class of doubly nonlinear history-dependent problems having a convection term and a pseudomonotone nonlinear diffusion operator associ-
atedanequationofthetype ∂t (k∗(b(v)−b(v0 )))−div(a(x,Dv)+F(v))= f where the right hand side belongs to L1 . The kernel k belongs to the large
class of kernels. In particular, the case of fra(...)
Fractional Time Derivative, Nonlinear Volterra Equation, Doubly Nonlinear, Entropy Solution
ARTICLE
Weak solutions for discrete Kirchhoff type equations with Dirichlet boundary conditions
Moussa Brahim, Nyanquini Ismaël, Ouaro Stanislas
This paper is concerned with the existence and multiplicity of weak so- lutions for discrete Kirchhoff type equations with Dirichlet boundary con- ditions. We first establish the existence of a nontrivial weak solution and three weak solutions, by using variational methods, mainly based on the mountain pass theorem of A. Ambrosetti and P.H. Ra(...)
Mots clés non renseignés
ARTICLE
Asymptotic Probability Expansions for Random Elements in a Hilbert Space
Victorien F. Konane, Claude Yaméogo, Wahabo Baguian
In this article, we approach a class of problems in probability theory, namely, the asymptotic expansion of probability. We consider an independent, identically distributed, and normalized stochastic process ()kkX∈ in a separable Hilbert space H, and associate it with the normalized partial sum.
As a result,(...)
Berry-Esseen, covariance operator, Fourier method, random elements
ARTICLE
Stability of a Vector-Borne Disease Model with a Delayed Nonlinear Incidence
TRAORE Ali
A vector-borne disease model with spatial diffusion with time delays and a general incidence function is studied. We derived conditions under which the system exhibits threshold behavior. The stability of the disease-free equilibrium and the endemic equilibrium are analyzed by using the linearization method and constructing appropriate Lyapuno(...)
Vector-borne disease · Diffusion · Stability · Lyapunov function · Nonlinear incidence
ARTICLE
Stepanov-like pseudo almost automorphic solutions of class r in α-norm under the light of measure theory
DJENDODE MBAINADJI AND ISSA ZABSONRE
The aim of this work is to present some interesting results on weighted ergodic functions and prove the existence and uniqueness of Stepanov-like pseudo almost automorphic solutions using the spectral decomposition of the phase space developed by Adimy and co-authors. We also give the next challenge of this work.
Mots clés non renseignés
ARTICLE
Entropy solutions for some elliptic problems involving the genralized p(u)-Laplacian operator.
Temghart Ait Said, Allalou Chakir, Hilal Khalid, Ouaro Stanislas
In this paper, we study the existence of entropy solutions for some generalized el- liptic p(u)-Laplacian problem when p(u) is a local quantity. We get the results by assuming the right-hand side function f to be an integrable function, and by using the regularization approach combined with the theory of Sobolev spaces with variable exponents
Mots clés non renseignés
ARTICLE
Weak Solutions of Anti-periodic Discrete Nonlinear Problems
RODRIGUE SANOU, IDRISSA IBRANGO, BLAISE KONÉ, ABOUDRAMANE GUIRO
We consider the existence of weak solutions for discrete nonlinear
problems. The proof of the main result is based on a minimization method.
Discrete nonlinear problems · Minimization method · Anti-periodic
ARTICLE
Combinatorics on words obtaining by k to k substitution and k to k exchange of a letter on modulo-recurrent words
Moussa Barro, K. Ernest Bognini and Théodore Tapsoba
We introduce two new concepts which are the $k$ to $k$ substitution and $k$ to $k$ exchange of a letter on infinite words. After studying the return words and the special factors of words obtaining by these applications on Sturmian words and modulo-recurrent words. Next, we establish the complexity functions of these words. Finally, we determ(...)
Sturmian words, modulo-recursive, $k$ to $k$ substitution, $k$ to $k$ exchange, complexity function, palindrome
ARTICLE
Exact solution of a fractional model of the dynamics of two competing prey-predator population using the SBA numerical method
Bationo Jérémie Yiyuréboula, Bassono Francis
We use the SBA numerical method by applying Picard's principle for solving a system of fractional equations. We first state the convergence of the SBA algorithm before proceeding to the search for possible solution. A graphical representation of the solution for different values of the perturbation parameter and fractional parameter allows the(...)
dynamique de population, proies-predacteurs, equations fractionairres
ARTICLE
Global Properties of a Delayed Vector‐borne Disease Model with Partial Protection of Susceptible Humans
OUEDRAOGO Harouna, TRAORE Ali
A delayed vector-borne disease model is formulated to investigate the effect of a partial protection of the human population on the epidemic extinction. This model depicts the situation of the self protection of the population or protection conducted by a government when an epidemic outbreak occurs. The global properties of the model are compl(...)
Delay · Mathematical model · Vector-borne disease · Protection · Stability · Numerical simulations