Publications (388)
ARTICLE
Periodic solutions in the α-norm for some neutral partial functional differential equations with finite delay
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 differential equations of neutral type with finite delay. We assume that the 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 argument. In the nonh(...)
analytic semigroup; partial functional differential equations of neutral type; α-norm; multivalued maps; condensing maps; periodic solutions; fixed point theorem
ARTICLE
Nonlinear elliptic anisotropic problem with Fourier boundary condition
B. Koné, S. Ouaro, FDY. Zongo
The authors obtain an existence and uniqueness result of entropy solution for nonlinear anisotropic elliptic equation with Fourier boundary condition. Precisely
{−∑Ni=1Diai(x,Diu)+|u|pM(x)−2u=f∑Ni=1ai(x,Diu)νi+λu=gin Ω,on ∂Ω,
where Ω⊂ℝN, N≥3 is a bounded domain with smooth boundary, f∈L1(Ω), g∈L1(∂Ω) and λ>0.
The authors start with proving(...)
generalized Lebesgue-Sobolev spaces; anisotropic Sobolev spaces; weak solution; entropy solution; Fourier boundary condition; Marcinkiewicz spaces
ARTICLE
Entropy solution to nonlinear multivalued elliptic problem with variable exponents and measure data.
I. Nyanquini, S. Ouaro, S. Soma
We study a nonlinear elliptic problem governed by a general Leray-Lions operator with variable exponents and diffuse Radon measure data that does not charge the sets of zero p(⋅)-capacity. We prove a decomposition theorem for these measures (more precisely, as a sum of a function in L1(Ω) and of a measure in W−1,p′(⋅)(Ω)) and an existence and(...)
diffuse measure; biting lemma of Chacon; maximal monotone graph; Radon measure data; weak solution; entropy solution; Leray-Lions operator
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 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