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Advances in Pure and Applied Mathematics is an international mathematics journal launched by the Tunisian Mathematical Society (SMT). It welcomes submissions from the entire field of pure and applied mathematics, including : all branches of analysis, applied harmonic analysis (mathematical aspects of signal processing, time-frequency analysis methods, uncertainty principles, sampling theory), partial differential equations, ordinary differential equations, approximations and expansion, mathematical physics, dynamic systems, mathematical and numerical aspects of inverse problems, statistics, probability theory.
2022 Impact factor : 0.4
5 Years Impact Factor : 0.5
Cite Score : 1.3
MCQ : 0.4
Scimago Journal Rank : 0.285
Source Normalized Impact Per Paper : 0.557
h-index : 14
Abstracting & Indexing
Scientific Board
Saloua AOUADI
Hajer BAHOURI
Sami BARAKET
Heinrich BEGEHR
Leila BEN ABDELGHANI
Aline BONAMI
Youssef BOUDABBOUS
Jacques FARAUT
Léonard GALLARDO
Hichem HAJAIEJ
Noomen JARBOUI |
Elyès JOUINI
Toshiyuki KOBAYASHI
Yvon MADAY
Fethi MAHMOUDI
Mohamed MAJDOUB
Abdenacer MAKHLOUF
Habib MARZOUGUI
Sami MUSTAPHA
Mark PEIGNE
Vicentiu RADULESCU
Lionel SCHWARTZ
Hatem ZAAG |
Avancées en mathématiques pures et appliquées est une revue scientifique internationale de mathématiques créée par la Société des Mathématiques de Tunisie (SMT). Elle publie des articles en mathématiques pures et appliquées. En particulier, dans toutes les branches de l’analyse, l’analyse harmonique appliquée (aspects mathématiques du traitement du signal, méthodes d’analyse temps-fréquence, principes d’incertitude, théorie de l’échantillonnage), équations aux dérivées partielles, équations différentielles ordinaires, approximations et développements, physique mathématique, systèmes dynamiques, aspects mathématiques et numériques des problèmes inverses, statistiques, combinatoire et théorie des probabilités.
2022 Impact factor : 0.4
5 Years Impact Factor : 0.5
Cite Score : 1.3
MCQ : 0.4
Scimago Journal Rank : 0.285
Source Normalized Impact Per Paper : 0.557
h-index : 14
Référencement
Conseil scientifique
Saloua AOUADI
Hajer BAHOURI
Sami BARAKET
Heinrich BEGEHR
Leila BEN ABDELGHANI
Aline BONAMI
Youssef BOUDABBOUS
Jacques FARAUT
Léonard GALLARDO
Hichem HAJAIEJ
Noomen JARBOUI |
Elyès JOUINI
Toshiyuki KOBAYASHI
Yvon MADAY
Fethi MAHMOUDI
Mohamed MAJDOUB
Abdenacer MAKHLOUF
Habib MARZOUGUI
Sami MUSTAPHA
Mark PEIGNE
Vicentiu RADULESCU
Lionel SCHWARTZ
Hatem ZAAG |
Volume 23- 14
Issue 1 (January 2023)Volume 22- 13
Issue 1 (January 2022)The aim of this paper is to give an overview of some inequalities about $$$L^p$$$-norms ($$$p$$$ = 1 or $$$p$$$ = 2) of harmonic (periodic) and non-harmonic trigonometric polynomials. Among the material covered, we mention Ingham’s Inequality about $$$L^2$$$ norms of non-harmonic trigonometric polynmials, the proof of the Littlewood conjecture by McGehee, Pigno and Smith on the lower bound of the $$$L^1$$$ norm of harmonic trigonometric polynomials as well as its counterpart in the non-harmonic case due to Nazarov. For the later one, we give a quantitative estimate that completes our recent result with an estimate of $$$L^1$$$-norms over small intervals. We also give some stronger lower bounds when the frequencies satisfy some more restrictive conditions (lacunary Fourier series, “multi-step arithmetic sequences”). Most proofs are close to existing ones and some open questions are mentionned at the end.
In this paper we study warped products endowed with a new semi-symmetric non-metric connection, which, we called Diallo-Massamba connection. We establish relationships between the Diallo-Massamba connection of the warped product to those of the base and the fiber. Also, we derive the curvature formulas for warped products with the Diallo-Massamba connection in terms of curvatures of its components. Examples of Diallo-Massamba connection are also given.
In this note we revise the perturbation result of [7] on the prescribed Branson-Paneitz curvature problem on the n-dimensional unit sphere, $$$n$$$ ≥ 6. We remove condition (A1) of ([7], Theorem 1.3) and we prove an entirely new perturbation theorem.
The purpose of this paper is to give some properties for the so-called ε-pseudo weakly demicompact linear operators acting on Banach spaces. Some sufficient conditions on the entries of an unbounded 2 × 2 block operator matrix $$$\mathcal{L}_{0}$$$ ensuring its ε-pseudo weak demicompactness are provided. In addition, we develop, in the bounded case, the class of ε-pseudo Fredholm perturbation to investigate the essential pseudo-spectra of $$$\mathcal{L}_{0}$$$. The results are formulated in terms of some denseness conditions on the topological dual space.
In this paper, we conduct a mathematical analysis of a tumor growth model with treatments. The model consists of a system that describes the evolution of metastatic tumors and the number of cells present in the primary tumor. The former evolution is described by a transport equation, and the latter by an ordinary differential equation of Gompertzian type. The two dynamics are coupled through a nonlocal boundary condition that takes into account the tumor colonization rate. We prove an existence result where the main difficulty is to handle the coupling and to take into account the time discontinuities generated by treatment terms. The proof is based on a Banach fixed point theorem in a suitable functional space. We also develop a computational code based on the method of characteristics and present numerical tests that highlight the effects of different therapies.
The second fundamental form arising from an oriented minimal immersion of a closed surface in a space form satisfies several constraints. One of them is provided by the Gauss-Codazzi equation that can be rephrased as a semilinear problem on the surface. We discuss some results for these type of nonlinear problems and analyze the behaviors of the solutions when the hyperbolic norm of the second fundamental form is small.
Editorial Board
Editor in Chief
Ali BAKLOUTI
Université de Sfax
Tunisie
ali.baklouti@fss.usf.tn
Honorary Editor
Khalifa TRIMECHE
Université de Tunis El Manar
Tunisie
khlifa.trimeche@fst.rnu.tn
Vice Editors in Chief
Abderrazek KAROUI
Université de Carthage
Tunisie
Abderrazek.Karoui@fsb.rnu.tn
Mohamed SIFI
Université de Tunis El Manar
Tunisie
mohamed.sifi@fst.utm.tn
The APAM steering committee announces with great regret the death of our colleague Maurice Pouzet, member of the journal’s editorial committee, and expresses all condolences to his family and to the international mathematical community.
To contact the editors : apam@openscience.fr
Please specify an editor in the submission form according to your research fields.