Publications (199)
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
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
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
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
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
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
ARTICLE
Exponential stability for coupled Lameé system with a fractional derivative time Delay.
Noureddine Taouaf, Akram Ben Aissa et Gilbert Bayili
We develop a detailed analysis for a coupled Lamé system with fractional time delay. We show by using a semigroup approach and the well-known Dafermos auxiliary variable, that the system is well-posed. Moreover, we analyze stability issue for the considered system. Namely, under a suitable choice of Lyapunov functional, exponential decay of th(...)
wave equation, coupled system, Lyapunov function
ARTICLE
Local existence and regularity of solutions for some second order differential equation with infinite delay
MICAILOU NAPO, MOHAMADO KIEMA, AND ISSA ZABSONRE
In this work, we study the existence and regularity of solutions for some second order di erential equations with in nite delay in Banach spaces. We suppose that the undelayed part admits a cosine operator in the sense given
by Da Prato and Giusi, [ G. Da Prato and E. Giusi, Una caratterizzazione dei generatori di funzioni coseno astratte, Bo(...)
Mots clés non renseignés
ARTICLE
Multiple solutions of a discrete nonlinear boundary value problem involving p(k)-Laplace Kirchhoff type operator
Moussa Brahim, Nyanquini Ismaël, Ouaro Stanislas
In this article, we prove the existence of at least one or two nontrivial solutions of a discrete nonlinear boundary value problem of p(k)-Laplace Kirchhoff type in a finite dimensional Banach space. Our approach is based on variational methods and on critical point theory.
Mots clés non renseignés
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 co(...)
Delay · Mathematical model · Vector-borne disease · Protection · Stability · Numerical simulations
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
ARTICLE
Existence, Regularity, and Stability in the α-Norm for Some Neutral Partial Functional Differential Equations in Fading Memory Spaces
Khalil Ezzinbi, Bila Adolphe Kyelem, Stanislas Ouaro
Theaimofthischapteristostudytheregularityandthestabilityinthe.α- norm for neutral partial functional differential equations in fading memory spaces. We assume that a linear part is densely defined and generates an analytic semigroup. The delayed part is assumed to be Lipschitzian. For illustration, we provide an example for some reaction–diffu(...)
Mots clés non renseignés