Publications (392)
ARTICLE
On Sparre Andersen Model with Partial Premium Payment Strategy to Shareholders with Dependence via Spearman Copula
Delwendé Abdoul-Kabir Kafando, François Xavier Ouedraogo, Lassané Sawadogo, Kiswendsida Mahamoudou Ouedraogo, Pierre Clovis Nitiema
Cette étude repose sur le modèle de risque composite de Poisson, intégrant une stratégie de distribution des dividendes aux actionnaires. Un élément clé est l'introduction d'un seuil constant 'b', permettant de distinguer entre les petites réclamations et les événements majeurs ayant un impact significatif sur les réserves. De plus, le modèle(...)
Gerber-Shiu Functions, Dependence, Spearman Copula, Dividends, Integro-Differential Equation
ARTICLE
NEUMANN PROBLEMS FOR NONLINEAR ELLIPTIC EQUATIONSINVOLVING VARIABLE EXPONENT AND MEASURE DATA
Mohamed Badr Benboubker, Stanislas Ouaro, Urbain Traore
This paper deals with the question of the existence of entropy solutions for the problem− div(a(x, u, ∇u) + φ(u)) + g(x, u, ∇u) = µ posed in an open bounded subset Ω of R^N with the homogeneous Neumann boundary condition (a(x, u, ∇u) + φ(u)) · η = 0. The functional setting involves Lebesgue and Sobolev spaces with variable exponent
Nonlinear elliptic problem, variable exponents, entropy solution, Neumannboundary conditions, Radon measure
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
Laplace transform for the compound Poisson risk model with a strategy of partial payment of premiums to shareholders and dependence between claim amounts and the time between claims using the Spearman copula
Kiswendsida Mahamoudou OUEDRAOGO, Delwendé Abdoul-Kabir KAFANDO, Lassané SAWADOGO, Francois Xavier OUEDRAOGO, Pierre Clovis NITIEMA
Cet article propose une extension du modèle de risque de Poisson composé en intégrant une stratégie de paiement partiel des dividendes aux actionnaires. Il aborde la dépendance entre les montants des réclamations et les temps entre les réclamations à l'aide de la copule de Spearman. L’objectif principal est de déterminer les transformées de La(...)
Gerber-Shiu function, integro-differential equation, Laplace transform, ruin probability
ARTICLE
An integro-differential equation in compound Poisson risk model with variable threshold dividend payment strategy to shareholders and tail dependence between claims amounts and inter-claim time
Kiswendsida Mahamoudou OUEDRAOGO, Delwendé Abdoul-Kabir KAFANDO, Francois Xavier OUEDRAOGO, Lassané SAWADOGO, Pierre Clovis NITIEMA
Cet article est une extension du modèle de risque de Poisson composé avec une stratégie de paiement de dividendes à seuil variable pour les actionnaires, et une dépendance entre les montants des réclamations et les temps inter-réclamations via la copule de Spearman. L'article détermine l'équation integro-différentielle associée à ce modèle de(...)
Gerber-Shiu function, copula, integro-differential equation, ruin probability
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
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
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