Publications (197)
ARTICLE
C^n-pseudo almost periodic solutions under the light of measure theory
MICAILOU NAPO AND ISSA ZABSONREThe aim of this work is study some properties and the existence of solution of some C^npseudo almost periodic solutions of class r in a Banach space when the delay is distributed using the variation of constants formula and the spectral decomposition of the phase space.
ARTICLE
Nonlinear problem having natural growth term and measure data
Konaté Ibrahime, Idrissa Ibrango, Ouaro StanislasThe aim of this paper is to study the existence of solutions of multi- valued nonlinear elliptic problems involving the natural growth term, measure data and the general p(.)-Leray-Lions type operator. Using a decomposition of Radon diffuse measure due to Nyanquini et al.(see [26]) and...
ARTICLE
Pseudo lmost periodic solutions of infinite class in the α-norm under the light of measure theory
DJENDODE MBAINADJI, DJOKATA VOTSIA AND ISSA ZABSONREThe aim of this work is to study weighted pseudo almost periodic functions with infinite delay via measure theory. Using the Banach fixed point theorem and the techniques of fractional powers of an operator, we establish the existence and uniqueness of pseudo almost periodic solutions in the...
ARTICLE
ASYMPTOTIC EXPANSIONS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS
KABORE Bruno, BELLA Boureima, LY IbrahimWe propose an asymptotic solution related to a Cauchy problem for an elliptic
equation or system with data on a part of the boundary within solving operators
of Zaremba type mixed boundary problems.
ARTICLE
On the multiplicity of solutions of a discrete Robin problem with variable exponents
Moussa Brahim, Nyanquini Ismaël, Ouaro StanislasIn 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
ARTICLE
STRUCTURAL STABILITY OF p(x)-LAPLACIAN KIND PROBLEMS WITH MAXIMAL MONOTONE GRAPHS AND NEUMANN TYPE BOUNDARY CONDITION
Kansié Kpè, Ouaro StanislasIn 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
ARTICLE
Resolution of the Standard Telegraph Equation by the Laplace-Adomian Method
MINOUNGOU Youssouf, BAGAYOGO Moussa ,PARE YoussoufIn 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.
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 ZABSONREIn 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...
ARTICLE
MULTIPLICITY OF HETEROCLINIC SOLUTIONS FOR THE DISCRETE p(k)-LAPLACE KIRCHHOFF TYPE EQUATIONS WITH A PARAMETER
Moussa Brahim, Nyanquini Ismaël, Ouaro StanislasIn 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...
ARTICLE
NUMERICAL RESOLUTION OF THE BIOLOGICAL POPULATION MODEL BY THE SBA METHOD
Bamogo Hamadou, Francis Bassono, Traoré AndréWe 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.
ARTICLE
Stabilization of a Microbeam System with a Boundary or Internal Distributed Delay
Désiré Saba, Akram Ben Aissa, Gilbert BayiliIn 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...
ARTICLE
Simulation mathématique de la sélection d’une variété de papaye
Sougoursi Jean Yves ZARE1, Zoïnabo SAVADOGOLe 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...
ARTICLE
On Existence of Entropy Solution for a Doubly Nonlinear Differential Equation with L1-Data
Safimba Soma and Mohamed BanceWe 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...
ARTICLE
Weak solutions for discrete Kirchhoff type equations with Dirichlet boundary conditions
Moussa Brahim, Nyanquini Ismaël, Ouaro StanislasThis 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...
ARTICLE
Asymptotic Probability Expansions for Random Elements in a Hilbert Space
Victorien F. Konane, Claude Yaméogo, Wahabo BaguianIn 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...