Publications (460)
ARTICLE
An existence result for impulsive functional differential equations with variable times
Khalil Ezzinbi, Hamidou Toure, Issa Zabsonre
In this work, a Schaefer fixed-point theorem is used to investigate the existence of solutions for first order impulsive functional differential with variable times.
Mots clés non renseignés
ARTICLE
Algèbres de Lie triple sans idempotent
Joseph Bayara, Amidou Konkobo, Moussa Ouattara
Idempotents play an important role in the investigation of nonassociative algebras structure ([2],[18],,[21]). However, the existence of such elements is not always guaranteed, specially when dealing with algebras that are defined by polynomial identities. Hence, in many cases, one has to assume the existence of idempotents $([3,11,17])$ in or(...)
Lie triple algebra, pseudo-idempotent, Jordan algebra, Peirce decomposition
ARTICLE
Weak heteroclinic solutions of anisotropic difference equations with variable exponent
A. Guiro, B. Koné, S. Ouaro
In this article, we prove the existence of heteroclinic solutions for a family of anisotropic difference equations. The proof of the main result is based on a minimization method, a change of variables and a discrete Hölder type inequality.
difference equations; heteroclinic solutions; anisotropic problem; discrete Hölder type inequality
ARTICLE
Entropy solutions for nonlinear nonhomogeneous Neumann problems involving the generalized p(x)-Laplace operator
E. Azroul, M.B. Benboubker, S. Ouaro
The paper deals with the inhomogeneous nonlinear Neumann boundary value problem
−div(Φ(∇u−Θ(u)))+|u|p(x)−2u+α(u)=finΩ,
(Φ(∇u−Θ(u))⋅η+γ(u)=gonΩ
with
Φ(ξ)=|ξ|p(x)−2ξ,∀ξ∈ℝN,
where Ω⊆ℝN (N≥3) is a bounded open domain with Lipschitz boundary ∂Ω, η is the outer unit normal vector on ∂Ω, α, γ, Θ are real functions defined on ℝ of ℝN, f∈L1(Ω),(...)
generalized Sobolev spaces; Neumann boundary conditions; entropy solution; noncoercive operator
ARTICLE
Renormalized solutions for a p(x)-Laplacian equation with Neumann nonhomogeneous boundary conditions and L1-data
E. Azroul, A. Barbara, M.B. Benboubker, S. Ouaro
An existence result of a renormalized solution for the p(x)-Laplacian equation with Neumann nonhomogeneous boundary conditions and L1 data is established
generalized Sobolev spaces; Neumann boundary conditions; renormalized solutions
ARTICLE
Existence and Controllability Results for Some Impulsive Partial Functional Differential Inclusion
Issa Zabsonre, Gilbert Bayili, Khalil Ezzinbi,
In this work, we prove the existence of mild and extremal mild solutions for first-order semilinear non densely defined impulsive functional differential inclusions in separable Banach spaces with local and nonlocal conditions. Firstly, we show the existence of mild and extremal solutions. Secondly, we study the controllability of a semilinear(...)
Mots clés non renseignés
ARTICLE
Application of a modified Adomian decomposition method to solving a kind of wave Equation
Francis Bassono, Pare Youssouf, Bissanga Gabriel, Some Blaise
In this paper, a modified Adomian decomposition method is used to construct the solution of the initial value problem
of a wave equation
Modified Adomian decomposition method, wave equation
ARTICLE
Entropy solutions for nonlinear elliptic anisotropic problem with Robin boundary condition
S. Ouaro, B.K. Bonzi, FDY. Zongo
Let Ω be an open bounded domain of ℝN (N≥3) with a smooth boundary. This paper is mainly concerned with the existence and uniqueness of an entropy solution to the following nonlinear anisotropic elliptic problem:
−∑i=1N∂∂xiai(x,∂∂xiu)+|u|pM(x)−2u=finΩ
with boundary condition
∑i=1Nai(x,∂∂xiu)νi=−|u|r(x)−2uon∂Ω,
where f∈L1(Ω) and νi(x) are t(...)
anisotropic equations; variable exponent; weak solutions; entropy solutions; Robin type boundary condition
ARTICLE
On the construction of the series solution of the Adomian decomposition method
Bissanga Gabriel, Bassono Francis, Pare Youssouf, Blaise Some
In this paper, the Adomian decomposition method is used to construct the solution of integral equations and the choice
of the first term of the series solution in the algorithm of Adomian is different of the usual one
Adomian decomposition method, integral equations
ARTICLE
Periodicity in the α-norm for some partial functional differential equations with infinite delay.
K. Ezzinbi, B.A. Kyelem, S. Ouaro
Using some fixed point theorems, the authors investigate the existence of periodic solutions in the α-norm for the partial functional differential equation with infinite delay
dudt(t)=−Au(t)+f(t,ut),t∈ℝ.
Here f:ℝ×α→X is a continuous function, σ-periodic in its first argument, X is a Banach space, α is the phase space, A:D(A)⊆X→X is a close(...)
analytic semigroup; partial functional differential equations; α-norm; multivalued maps; condensing maps; periodic solutions; fractional power of operators
ARTICLE
Entropy solutions for nonlinear elliptic anisotropic homogeneous Neumann problem
B.K. Bonzi, S. Ouaro, F.D.Y. Zongo
We prove the existence and uniqueness of an entropy solution for nonlinear anisotropic elliptic equations with Neumann homogeneous boundary value condition for L1-data. We prove first, by using minimization techniques, the existence and uniqueness of a weak solution when the data is bounded, and by approximation methods, we prove a result of e(...)
existence; uniqueness; entropy solution; nonlinear anisotropic elliptic equations; Neumann homogeneous boundary value
ARTICLE
APPLICATION OF THE ADOMIAN DECOMPOSITION METHOD AND THE PERTURBATION METHOD TO SOLVING INTEGRAL EQUATIONS
FRANÇIS BASSONO, PARE YOUSSOUF, GABRIEL BISSANGA AND BLAISE SOME
In this paper, the Adomian decomposition method and the perturbation method are used to construct
the solution of the integral equation
Adomian decomposition method, Perturbation method, Integral equation
ARTICLE
APPLICATION OF THE ADOMIAN DECOMPOSITION METHOD AND THE PERTURBATION METHOD TO SOLVING IA SYSTEM OF PERTURBED EQUATIONS
FRANÇIS BASSONO, PARE YOUSSOUF, GABRIEL BISSANGA AND BLAISE SOME
In this paper, the Adomian decomposition method and the perturbation method are used to construct the solution of the initial value problem of a system of differenial equations
Adomian decomposition method, Perturbation method
ARTICLE
Elliptic problem involving diffuse measure data
Noureddine Igbida, Stanislas Ouaro and Safimba Soma
In this paper, we study a suitable notion of solution for which a nonlinear elliptic problem governed by a general Leray–Lions operator is well posed for any diffuse measure data. In terms of the paper (Brezis et al., 2007, [10]), we study the notion of solution for which any diffuse measure is “good measure”.
Nonlinear elliptic, Diffuse measure, Biting lemma of Chacon, Maximal monotone graph, Radon measure data, Weak solution, Entropic solution, Leray–Lions operator
ARTICLE
A new technique for numerical resolution of few non linear Integral equations of Fredholm by SBA method
Youssouf PARE , Francis BASSONO et Blaise SOME
In the paper, we propose a new technique of resolution of few non linear Integral equations of second kind of Fredholm by SBA method
Decomposition method of Adomian, principle of Picard, successive approximation method, SBA method.