Publications (479)
ARTICLE
On the multiplicity of solutions of a discrete Robin problem with variable exponents
Moussa Brahim, Nyanquini Ismaël, Ouaro Stanislas
In this paper, we prove the existence and multiplicity of solutions of a discrete Robin problem with variable exponents in a T-dimensional Banach space. The proofs of our main results are based on variational methods
Mots clés non renseignés
ARTICLE
STRUCTURAL STABILITY OF p(x)-LAPLACIAN KIND PROBLEMS WITH MAXIMAL MONOTONE GRAPHS AND NEUMANN TYPE BOUNDARY CONDITION
Kansié Kpè, Ouaro Stanislas
In this work, we study the convergence of a sequence of solutions of degenerate elliptic problems with variable coercivity and growth exponents. The functional setting involves Lebesgue and Sobolev spaces with variable ex- ponent which varies also with n
Mots clés non renseignés
ARTICLE
Resolution of the Standard Telegraph Equation by the Laplace-Adomian Method
MINOUNGOU Youssouf, BAGAYOGO Moussa ,PARE Youssouf
In this paper, we resarch the solution of the standard telegraph equation by the Laplace-Adomian method.
The Laplace-Adomian method is based on the combination of Laplace transform and the Adomian
decompositionnal method.
Telegraph equation, Laplace transform, ADM method
ARTICLE
GERBER-SHIU ANALYSIS ON A PERTURBED RISK MODEL WITH TAIL DEPENDENCE VIA SPEARMAN COPULA BETWEEN CLAIM SIZE AND CLAIM ARRIVAL TIMES
Lassané Sawadogo, Delwendé Abdoul-Kabir Kafando, Frédéric Béré, Mahamoudou Ouedraogo
Building on a risk model with dependence between claim amounts and inter-claim times perturbed by Brownian motion, this article presents two major contributions (see [1]). First, explicit formulas for ruin probabilities are derived, increasing the practical applicability of the model. Second, extensive numerical simulations enrich the analysis(...)
Fonctions de Gerber-Shiu, dépendance, copule, équation intégro-différentielle, transformation de Laplace, probabilité de ruine
ARTICLE
On a Compound Poisson Risk Model Perturbed by Brownian Motion with Variable Premium and Tail Dependence between Claims Amounts and Inter-Claim Time
Delwendé Abdoul-Kabir Kafando, Kiswendsida Mahamoudou Ouedraogo, Pierre Clovis Nitiema
Cet article examine un modèle de risque de Poisson composé perturbé par un mouvement brownien avec un prime variable et une dépendance entre les montants des réclamations et les temps entre les réclamations via la copule de Spearman. Le modèle présente deux classes de preneurs de police ayant des montants de réclamation différents, ce qui a de(...)
Gerber-Shiu Function, Copula, Integro-Differential Equation, Laplace Transform, Brownian Motion
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
Investigating the Impact of Variable Dividends and Tail Dependence in a Compound Poisson Risk Model
Kiswendsida Mahamoudou Ouedraogo, Delwendé Abdoul-Kabir Kafando, François Xavier Ouedraogo, Pierre Clovis Nitiéma
This paper extends the compound Poisson risk model with a variable threshold dividend payment strategy and dependence between claims and inter-claim times, modeled via the Spearman copula. The objective is to establish the ultimate ruin probability in this framework. Following an introduction that motivates the study and highlights limitations(...)
Gerber-Shiu Function, Copula, Integro-Differential Equation, Ruin Probability
ARTICLE
Improving Risk Assessment and Pricing with Dividend Barriers and Dependence Modelling: An Extension of the Cramer-Lundberg Model with Spearman Copulas
: Kiswendsida Mahamoudou Ouedraogo, Delwendé Abdoul-Kabir Kafando, Frédéric Bere, Pierre Clovis Nitiema
Cet article présente une extension du modèle de risque de Poisson composé, intégrant une stratégie de paiement de dividendes avec une barrière constante. Le modèle inclut une dépendance entre les montants des réclamations et les intervalles entre réclamations, modélisée à l'aide de la copule de Spearman. Les résultats montrent que la dépendanc(...)
Gerber-Shiu Functions, Dependency, Integro-differential Equation, Laplace Transformation, Probability of Ruin
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
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
ON HILBERTIAN STOCHASTIC PROCESSES: CONVERGENCE IN THE CENTRAL LIMIT THEOREM
Claude Yaméogo, Victorien Konané, Wahabo Baguian
In this paper, we deal with a problem in probability theory, namely, the law convergence of Hilbertian processes. We first consider a causal stochastic process $\left(X_t\right)_{t \in \mathbb{Z}}$ in Wold representation. In the second step, we assume a nonlinear process under a strong mixing condition. We develop new methods to evaluate the c(...)
Central limit theorem, Convergence (economics), Limit (mathematics), Mathematics, Applied mathematics, Mathematical economics, Mathematical analysis, Economics, Statistics
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