63 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Tunis El Manar UniversityTN4 papers
- Tunis UniversityTN4 papers
- Institute of Mathematics, Physics, and MechanicsSI3 papers
- University of LjubljanaSI3 papers
- University of SfaxTN3 papers
- Belgorod National Research UniversityRU2 papers
- Faculty of Sciences of SfaxTN2 papers
- Institut Élie Cartan de LorraineFR2 papers
- Université de LorraineFR2 papers
- University of MonastirTN2 papers
- Belarusian State UniversityBY1 paper
- Centre de Physique ThéoriqueFR1 paper
18 papers
The flux norm, Bohr-Sommerfeld Quantization Rules and the scattering problem for h DO's on the real line
Abdelwaheb Ifa, Michel Rouleux
We revisit the well known Bohr-Sommerfeld quantization rule (BS) of order 2 for a self-adjoint 1-D h-Pseudo-differential operator within the algebraic and microlocal framework of H…
Asymptotically homogeneous solutions of the supercritical Lane-Emden system
Louis Dupaigne, Hatem Hajlaoui, Marius Ghergu
We consider the Lane-Emden system-u = |v| p-1 v,-v = |u| q-1 u in R d. When p q 1, it is known that there exists a positive radial stable solution (u, v) C…
Existence results for integro-differential equations with reflection
Mohsen Miraoui, Dušan D. Repovš
We prove several important results concerning existence and uniqueness of pseudo almost automorphic (paa) solutions with measure for integro-differential equations with reflection.…
Clifford wavelets for fetal ECG extraction
Malika Jallouli, Sabrine Arfaoui, Anouar Ben Mabrouk +1
Analysis of the fetal heart rate during pregnancy is essential for monitoring the proper development of the fetus. Current fetal heart monitoring techniques lack the accuracy in fe…
Fractional double phase Robin problem involving variable order-exponents without Ambrosetti-Rabinowitz condition
Reshmi Biswas, Sabri Bahrouni, Marcos L. Carvalho
We consider a fractional double phase Robin problem involving variable order and variable exponents. The nonlinearity is a Carathéodory function satisfying some hypotheses whic…
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…
Existence and multiplicity results for a new -Kirchhoff problem
M. K. Hamdani, A. Harrabi, F. Mtiri +1
We study the existence and multiplicity results for the following nonlocal -Kirchhoff problem: \begin{equation} \label{10} \begin{cases} -\left(a-b\int_Ω\frac{1}{p(x)}| \nabl…
Programming Without Refining
Marwa Benabdelali, Lamia Labed Jilani, Wided Ghardallou +1
To derive a program for a given specification R means to find an artifact P that satisfies two conditions: P is executable in some programming language; and P is correct with respe…
Monotonicity Properties and functional inequalities for the Volterra and incomplete Volterra functions
Khaled Mehrez, Sergei M. Sitnik
In this paper we prove some monotonicity, log--convexity and log--concavity properties for the Volterra and incomplete Volterra functions. Moreover, as consequences of these result…
Generalized Volterra functions, its integral representations and applications to the Mathieu--type series
Khaled Mehrez, Sergei M. Sitnik
In this paper we introduce the new class of generalized Volterra functions. We prove some integral representations for them via Fox-Wright H-functions and Meijer G-functions. From…
Some Ultraspheroidal Monogenic Clifford Gegenbauer Jacobi Polynomials and Associated Wavelets
Sabrine Arfaoui, Anouar Ben Mabrouk
In the present paper, new classes of wavelet functions are presented in the framework of Clifford analysis. Firstly, some classes of orthogonal polynomials are provided based on 2-…
Turán type inequalities for classical and generalized Mittag-Leffler functions
Sergei M. Sitnik, Khaled Mehrez
In this paper some Turán type inequalities for classical and generalized Mittag-Leffler functions are considered. The method is based on proving monotonicity for special ratio of s…
A Class of logarithmically completely monotonic functions relating the -gamma function and applications
Khaled Mehrez
In this paper, the logarithmically complete monotonicity property for a functions involving -gamma function is investigated for As applications of this results, som…
Explicit estimates for solutions to higher order elliptic PDEs via Morse index
Foued Mtiri, Abdellaziz Harrabi, Dong Ye
In this paper, we establish and estimates for solutions of some polyharmonic elliptic equations via the Morse index. As far as we know, it seems to be the firs…
Ambrosetti-Rabinowitz theorems revisited
Abdellaziz Harrabi
We introduce tow assumptions weaker than the classical Ambrosetti-Rabinowitz and the subcritical polynomial growth conditions to obtain the Palais-Smale Condition. Therefore, we im…
On stable solutions of biharmonic problem with polynomial growth
Hatem Hajlaoui, Abdelaziz Harrabi, Dong Ye
We prove the nonexistence of smooth stable solution to the biharmonic problem , in for and , where is the largest ro…
Spectral and localization properties of the Dirichlet wave guide with two concentric Neumann discs
Hatem Najar, Oleg Olendski
Bound states of the Hamiltonian describing a quantum particle living on three dimensional straight strip of width are investigated. We impose the Neumann boundary condition on…
On sl(2)-equivariant quantizations
S. Bouarroudj, M. Iyadh Ayari
By computing certain cohomology of Vect(M) of smooth vector fields we prove that on 1-dimensional manifolds M there is no quantization map intertwining the action of non-projective…