Faculty of Sciences of Sfax

output

20032022

most citedExistence and multiplicity results for a new

p (x)

-Kirchhoff problem

63 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

36 papers

math.FA2022★ 2 cited

Existence results for nonexpansive multi-valued operators and nonlinear integral inclusions

Khaled Ben Amara, Aref Jeribi, Najib Kaddachi

In this paper, we establish some new variants of fixed point theorems for a large class of countably nonexpansive multi-valued mappings. Some fixed point theorems for the sum and t…

math.FA2022★ 4 cited

Generalized form of fixed-point theorems in generalized Banach algebra relative to the weak topology with an application

Aref Jeribi, Najib Kaddachi, Zahra Laouar

In this paper, a general hybrid fixed point theorem for the contractive mappings in generalized Banach spaces is proved via measure of weak non-compactness and it is further applie…

math.FA2021★ 12 cited

Generalized $A$ -numerical radius of operators and related inequalities

Pintu Bhunia, Kais Feki, Kallol Paul

Let $A$ be a non-zero positive bounded linear operator on a complex Hilbert space $(H, ⟨ \cdot, \cdot ⟩)$ . Let $ω_{A} (T)$ denote the $A$ -numerical radius of an oper…

math.AP2020★ 2 cited

Nonlocal Lazer-McKenna type problem perturbed by the Hardy's potential and its parabolic equivalence

Masoud Bayrami-Aminlouee, Mahmoud Hesaaraki, Mohamed Karim Hamdani +1

In this paper, we study the effect of Hardy potential on the existence or non-existence of solutions to a fractional Laplacian problem involving a singular nonlinearity. Also, we m…

math.AP2020★ 7 cited

Dynamics and oscillations of models for differential equations with delays

Mohsen Miraoui, Dušan D. Repovš

By developing new efficient techniques and using an appropriate fixed point theorem, we derive several new sufficient conditions for the pseudo almost periodic solutions with doubl…

math.AP2019

Multiple solutions for Grushin operator without odd nonlinearity

Mohamed Karim Hamdani

We deal with existence and multiplicity results for the following nonhomogeneous and homogeneous equations, respectively: \begin{eqnarray*} (P_g)\quad - Δ_λ u + V(x) u = f(x,u)+g(x…

math.AP2019★ 63 cited

Existence and multiplicity results for a new $p (x)$ -Kirchhoff problem

M. K. Hamdani, A. Harrabi, F. Mtiri +1

We study the existence and multiplicity results for the following nonlocal $p (x)$ -Kirchhoff problem: \begin{equation} \label{10} \begin{cases} -\left(a-b\int_Ω\frac{1}{p(x)}| \nabl…

math.NT2019★ 3 cited

On quadratic approximation for hyperquadratic continued fractions

Khalil Ayadi, Tomohiro Ooto

We study quadratic approximations for two families of hyperquadratic continued fractions in the field of Laurent series over a finite field. As the first application, we give the a…

math.RA2019★ 10 cited

$3$ -BiHom-Lie superalgebras induced by BiHom-Lie superalgebras

Abdelkader Ben Hassine, Sami Mabrouk, Othmen Ncib

The purpose of this paper is to study the relationships between a BiHom-Lie superalgebras and its induced 3-BiHom-Lie superalgebras. We introduce the notion of $(α^{s}, β^{r})$ -derivati…

math.AC2019★ 6 cited

The syzygy theorem for Bézout rings

Maroua Gamanda, Henri Lombardi, Stefan Neuwirth +1

We provide constructive versions of Hilbert's syzygy theorem for Z and Z/nZ following Schreyer's method. Moreover, we extend these results to arbitrary coherent strict Bézout rings…

math-ph2019★ 4 cited

A Detailed Fluctuation Theorem for Heat Fluxes in Harmonic Networks out of Thermal Equilibrium

Mondher Damak, Mayssa Hammami, Claude-Alain Pillet

We continue the investigation, started in [J. Stat. Phys. 166, 926-1015 (2017)], of a network of harmonic oscillators driven out of thermal equilibrium by heat reservoirs. We study…

math.RA2018★ 14 cited

Some constructions of multiplicative $n$ -ary Hom-Nambu algebras

Abdelkader Ben Hassine, Sami Mabrouk, Othmen Ncib

We show that given a Hom-Lie algebra one can construct the n-ary Hom-Lie bracket by means of an (n-2)-cochain of given Hom-Lie algebra and find the conditions under which this n-ar…

math.FA2018

On the ascent-descent spectrum

Nassim Athmouni, Mondher Damak, Chiraz Jendoubi

We establish the various properties as well as diverse relations of the ascent and descent spectra for bounded linear operators. We specially focus on the theory of subspectrum. Fu…

math.RT2018★ 1 cited

Corwin-Greenleaf multiplicity function for compact extensions of $R^{n}$

Majdi Ben Halima, Anis Messaoud

Let $G = K ⋉ R^{n}$ , where $K$ is a compact connected subgroup of $O (n)$ acting on $R^{n}$ by rotations. Let $g \supset k$ be the respective Lie…

math.RA2018★ 21 cited

Cohomology and Deformations of $n$ -Lie algebra morphisms

A. Arfa, N. Ben Fraj, A. Makhlouf

The study of $n$ -Lie algebras which are natural generalization of Lie algebras is motivated by Nambu Mechanics and recent developments in String Theory and M-branes. The purpose of…

math.CA2017★ 15 cited

Generalized Taylor formulas involving generalized fractional derivatives

Mondher Benjemaa

In this paper, we establish a generalized Taylor expansion of a given function $f$ in the form $f (x) = j = 0 \sum m c_{j}^{α, ρ} (x^{ρ} - a^{ρ})^{j α} + e_{m} (x)$ \noi…

math-ph2017★ 4 cited

Quantum algebra from generalized q-Hermite polynomials

Kamel Mezlini, Najib Ouled Azaiez

In this paper, we discuss new results related to the generalized discrete $q$ -Hermite II polynomials $h ~_{n, α} (x; q)$ , introduced by Mezlini et al. in 2014. Our aim is to giv…

math.RT2016

Deformation of $osp (2∣2)$ -Modules of Symbols

Mabrouk ben Ammar, Wafa Mtaouaa

We classify deformations of $osp (2∣2) -$ module structure on the spaces of symbols $S_{d}^{2}$ of differential operators acting on the space of weighted densities $…

math.NT2015★ 1 cited

Rational digit systems over finite fields and Christol's Theorem

Manuel Joseph C. Loquias, Mohamed Mkaouar, Klaus Scheicher +1

Let $P, Q \in F_{q} [X] ∖ {0}$ be two coprime polynomials over the finite field $F_{q}$ with $deg P > deg Q$ . We represent each…

math.AP2014★ 24 cited

A complete study of the lack of compactness and existence results of a Fractional Nirenberg Equation via a flatness hypothesis: Part I

W. Abdelhedi, H. Chtioui, H. Hajaiej

In this paper we establish existence results for the Fractional Nirenberg Equation via the flatness hypothesis. We have been able to include the Morse functions in our study. This…

math.AP2014★ 4 cited

Existence and uniqueness of traveling wave for accelerated Frenkel-Kontorova model

Nicolas Forcadel, Amin Ghorbel, Sonda Walha

In this paper, we study the existence and uniqueness of traveling wave solution for the accelerated Frenkel-Kontorova model. This model consists in a system of ODE that describes t…

math.DS2012

On the dynamic of holomorphic diffeomorphisms groups fixing a commune point, on C^n

Yahya N'Dao, Adlene Ayadi

In this paper, we study the action on C^n of any group G of holomorphic diffeomorphisms (automorphisms) of C^n fixing 0. Suppose that there is x in C^n, having an orbit which gener…

math.RA2010★ 35 cited

Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras

F. Ammar, A. Makhlouf, S. Silvestrov

In this paper we construct ternary $q$ -Virasoro-Witt algebras which $q$ -deform the ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos using $s u (1, 1)$ envel…

math.RT2009★ 13 cited

The Binary Invariant Differential Operators on Weighted Densities on the superspace $R^{1∣ n}$ and Cohomology

Mabrouk Ben Ammar, Nizar Ben Fraj, Salem Omri

Over the $(1, n)$ -dimensional real superspace, $n > 1$ , we classify $K (n)$ -invariant binary differential operators acting on the superspaces of weighted densities, where $\m…