Publications (388)
ARTICLE
Entropy solutions for nonlinear nonhomogeneous Neumann problems involving the generalized p(x)-Laplace operator and measure data
M.B. Benboubker, S. Ouaro, U. Traoré
Our aim in this paper is to study the existence of entropy solutions for the class of nonlinear p(x)-Laplace problems with Neumann nonhomogeneous boundary conditions and diffuse Radon measure data which does not charge the sets of zero p(⋅)-capacity
generalized Sobolev space; Neumann boundary conditions; entropy solution; Radon measure; p(⋅)-capacity
ARTICLE
Entropy solutions to nonlinear elliptic anisotropic problem with variable exponent
M.B. Benboubker, H. Hjiaj, S. Ouaro
The authors establish the existence of an entropy solution for a nonlinear elliptic problem involving a Leray-Lions operator and nonlinear lower terms. The approach relies on anisotropic Sobolev spaces with variable exponent.
anisotropic Sobolev spaces; variable exponent; nonlinear elliptic problem; entropy solutions
ARTICLE
The obstacle problem associated with nonlinear elliptic equations in generalized Sobolev spaces
E. Azroul, M.B. Benboubker, S. Ouaro
This paper is devoted to the study of the following obstacle problem
−div(a(x,u,∇u))+g(x,u,∇u)=f in Ω,(1)
where Ω is an open bounded domain of ℝN(N≥2),a:Ω×ℝ×ℝN→ℝN is a Carathéodory function satisfying some growth, monotonicity and coerciveness conditions.
Under some suitable conditions on the function g and if f∈L1Ω, the authors prove the e(...)
generalized Sobolev spaces; boundary value problems; truncations; penalized equations
ARTICLE
Pseudo Almost Automorphic Solutions of class r for Some Neutral Partial Functional Differential Equations
Khalil Ezzinbi, Hamidou Toure, Issa Zabsonre
The aim of this work is to investigate the existence and uniqueness of pseudo almost automorphic solutions for some neutral partial functional differential equations in a Banach space when the delay is distributed. Here we assume that the underlayed part is not necessarily densely defined and satisfies the well-known Hille–Yosida condition, th(...)
Mots clés non renseignés
ARTICLE
L1 existence and uniqueness of entropy solutions to nonlinear multivalued elliptic equations with a homogeneous Neumann boundary condition and variable exponent
S. Ouaro, A. Ouédraogo
In this work, we study the nonlinear homogeneous Neumann boundary value problem β(u)− diva(x,∇u)∋f in Ω,a(x,∇u)⋅η=0 on ∂Ω, where Ω is a smooth bounded open domain in ℝN,N≥3, with smooth boundary ∂Ω and η the outer unit normal vector on ∂Ω. We prove the existence and uniqueness of an entropy solution for L1-data f. The functional setting involv(...)
elliptic equation; variable exponent; entropy solution; L1-data; Neumann boundary condition
ARTICLE
Periodicity in the α-norm for partial functional differential equations in fading memory spaces
K. Ezzinbi, B.A. Kyelem, S. Ouaro
The aim of this work is to study the existence of periodic solutions in the α-norm for some partial functional differential equations of neutral type in fading memory spaces. We assume that a linear part is densely defined and is the generator of an analytic semigroup. The delayed part is assumed to be periodic with respect to the first argume(...)
analytic semigroup; Poincaré’s operator; neutral type; α-norm; multivalued maps; condensing maps; periodic solutions; fixed point theorem; fading memory space
ARTICLE
Comparison of the Adomian Decomposition Method and Laplace Transform on a System of Cauchy PDEs
PARE Youssouf, Francis BASSONO, Gabriel BISSANGA, Rasmane YARO and Blaise Some
In this paper, the Adomian decomposition method (ADM) and Laplace transform are used to construct the solution of a linear system of partial differential equations
Adomian decompostion method and Laplace transform
ARTICLE
Deterministic and Stochastic Schistosomiasis Models with General Incidence
S. Ouaro, A. Traoré
In this paper, deterministic and stochastic models for schistosomiasis involving four sub-populations are developed. Conditions are given under which system exhibits thresholds behavior. The disease-free equilibrium is globally asymptotically stable if R0 < 1 and the unique endemic equilibrium is globally asymptotically stable when R0 > 1. The(...)
Computational Simulation; General Incidence; Reproduction Number; Schistosomiasis Model; Stochastic Differential Equation
ARTICLE
Resolution of nonlinear system of partial differential equations by the SBA method in n ( n ³ 2 ) dimension space.
Pare Youssouf, Bakari Abbo, Bassono Francis, Abba Danna and Some Blaise
In this paper, we used the SBA algorithm for solving nonlinear system of partial differential equations (SPDEs) Cauchy problem, in n (n ≥2) dimension space:
Adomian method, Picard principle, successive approximation method, SBA (Some Blaise-Abbo) method
ARTICLE
Pseudo Almost Periodic Solutions of class r for Some Neutral Partial Functional Differential Equations
Khalil Ezzinbi, Hamidou Toure, Issa Zabsonre
The aim of this work is to investigate the existence and uniqueness of pseudo almost periodic solutions of class r for some neutral partial functional differential equations in a Banach space when the delay is distributed using the variation of constants formula and the spectral decomposition of the phase space developed in Adimy et al. (Can A(...)
Mots clés non renseignés
ARTICLE
Application of Adomian decomposition method to solving some kinds of partial differential equations and system of partial diferential equations
Justin Mouyedo Loufouilou, Gabriel Bissanga, Bassono Francis, Pare Youssouf
In this article, the Adomian decomposition method (ADM) is used to construct the solution of the initial value problem of some kinds of partial differential equations of first order.
Adomian decomposition method, partial differential equations
ARTICLE
Stability analysis of a schistosomiasis model with delays
Aboudramane Guiro, Stanislas Ouaro, Ali Traoré
In this work, a nonlinear deterministic model for schistosomiasis transmission including delays with two general incidence functions is considered. A rigorous mathematical analysis is done. We show that the stability of the disease-free equilibrium and the existence of an endemic equilibrium for the model are stated in terms of key threshold p(...)
Mots clés non renseignés
ARTICLE
Modeling and numerical simulation of dealing with the drying of lake Chad
Marayi Choroma , Bakari Abbo , Bassono Francis, Abba Danna, Pare Youssouf and Blaise Some
In this paper, we are interested in the modeling and numerical simulation of the impact of dewatering of Lake Chad on income residents, to help decision makers to take the appropriate measures
operations research, mathematical programming and nonlinear programming
ARTICLE
Application of the SBA method to solving optimal control problem governed by systems of nonlinear partial differential equations
Bakari Abbo, Pare Youssouf, Francis BASSONO, Marayi Choroma, Blaise Some
In this article, we are interested in solving optimal control problems governed by a system of nonlinear partial differential equations by the iterative method SBA(combination of the Adomian method, successive approximations method and the principle of Picard) ]. This technique allows reducing the problem of optimal control of the error
funct(...)
Adomian method, successive approximations method, Picard principle, SBA method
ARTICLE
Pseudo Almost Periodic Solutions of infinite class for Neutral Partial Functional Differential Equations with infinite delay
Khalil Ezzinbi and Issa Zabsonre
The aim of this work is to investigate the existence and uniqueness of pseudo almost periodic solutions for some neutral partial functional differential equations in a Banach space when the delay is distributed using the variation of constants formula and the spectral decomposition of the phase space developed in Adimy et al. [M. Adimy, K. Ezz(...)
Mots clés non renseignés