Publications (468)
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
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
On the optimal dividend strategy for an insurance company in a compound Poisson risk model with dependence between claim amounts and time between claims
Kiswendsida Mahamoudou OUEDRAOGO, Francois Xavier OUEDRAOGO, Delwendé Abdoul-Kabir KAFANDO and Pierre Clovis NITIEMA
Cet article étend le modèle de risque de Poisson composé avec une stratégie de paiement de dividendes à seuil variable et une dépendance entre les réclamations et les temps entre les réclamations, modélisée via la copule de Spearman. L'objectif est d'établir la probabilité ultime de ruine dans ce cadre. L'article passe en revue la littérature(...)
Gerber-Shiu functions, dependence, integro-differential equation, Laplace transform, probability of ruin.
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
SHADOW PRICE APPROXIMATION FOR THE FRACTIONAL STOCHASTIC ALPHA BETA RHO MODEL
Abel ZONGO, Raogo Frank Emile 1er Jumeau KABORE, Ywo Josué BAZIE, Abdoul Karim DRABO and S. Pierre Clovis NITIEMA
The aim of this paper is to introduce a shadow price approximation
approach to fractional stochastic Alpha Beta Rho model. This new
approach is an extension of shadow price to semi-martingale processes
driven by fractional Brownian motions.
SABR-fractional model, Wick-Itô, shadow price.
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
Structural Stability of p(x)-Laplace Problems with Robin-Type Boundary Condition
106- Kansie Kpè, Ouaro Stanislas
In this chapter, a continuous dependence result on coefficients of solu- tions of the nonlinear nonhomogeneous Robin boundary-value problems involving the .p(x)-Laplace operator is established
Mots clés non renseignés
ARTICLE
Existence of Local and Maximal Mild Solutions for Some Non-autonomous Functional Differential Equation with Finite Delay
Khalil Ezzinbi, Bila Adolphe Kyelem, Stanislas Ouaro
This chapter is devoted to the study of the existence results of local
and maximal solutions on the one hand and the existence and uniqueness results
of mild solutions on the second hand, for the non-autonomous evolution equation
d
withfinitedelay.dtu(t)=A(t)u(t)+f(t,ut), t∈[0,T],subjectedtotheinitial
datum .u0 = φ, where .T 0 is some po(...)
Mots clés non renseignés
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
ARTICLE
Discrete Potential Boundary-Value Problems of Kirchhoff Type
Dianda Abdoul Aziz Kalifa, Ouaro Stanislas
In this chapter, we prove the existence of solutions for some discrete nonlinear difference equations of Kirchhoff type subjected to a potential boundary- value condition. We make use of a variational technique that relies on Szulkin’s critical point theory, which ensures the existence of solutions by ground state and mountain pass methods.
Mots clés non renseignés
ARTICLE
STABILITY OF A TIMOSHENKO SYSTEMWITH CONSTANT DELAY
Innocent OUEDRAOGO, Gilbert BAYILI
The aim of this work is to develop a detail analysis of a Timoshenkotype beam model taking into account a delay. We prove the well-posedness andregularity of solution, explained using the theory of the Faedo-Galerkin scheme.Namely, under a suitable choice of Lyapunov functional, exponential decay ofthe whole energy holds
Timoshenko system; exponential stability; delay;, Fadeo-Galerkin Method