https://lematematiche.dmi.unict.it/index.php/lematematiche/issue/feedLe Matematiche2024-02-13T10:59:36+00:00Prof. Francesco Russofrancesco.russo@unict.itOpen Journal Systems<p><em>Journal of Pure and Applied Mathematics and Information Science</em></p> <p>Open Access Journal</p>https://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/2467Some properties for ν-zeros of parabolic cylinder functions2024-02-13T10:53:12+00:00Christophette Blanchet-Scallietchristophette.blanchet@ec-lyon.frDiana Dorobantudiana.dorobantu@univ-lyon1.frBenoit NIETObenoit.nieto1@gmail.com<div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p>Let <em>D<sub>ν</sub>(z)</em> be the Parabolic Cylinder function. We study the <em>ν</em>-zeros of the function <em>ν → D<sub>ν</sub>(z)</em> with respect to the real variable <em>z</em>. We establish a formula for the derivative of a zero and deduce some monotonicity results. Then we also give an asymptotic expansion for <em>ν</em>-zeros for large positive z.</p> </div> </div> </div>2024-02-12T00:00:00+00:00Copyright (c) 2024 Christophette Blanchet-Scalliet, Diana Dorobantu, Benoit NIETOhttps://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/2478On a system involving an integro-differential inclusion with subdifferential and caputo fractional derivative2024-02-13T10:54:52+00:00Aya Bouabsaayabouabsa670@gmail.comSoumia Saidisoumiasaidi44@gmail.com<div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p>The current work is concerned with a new system involving an integro-differential inclusion of subdifferential type and Caputo fractional derivative, in Hilbert spaces. We use a discretization approach to deal with the integro-differential inclusion. Then, we proceed by a fixed point theorem to handle the considered system.</p> </div> </div> </div>2024-02-12T00:00:00+00:00Copyright (c) 2024 A. Bouabsa - S. Saidihttps://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/2485A study on k-coalescence of two graphs2024-02-13T10:57:15+00:00V. K. Najiyanajiya_p190046ma@nitc.ac.inA. V. Chithrachithra@nitc.ac.in<div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p>The <em>k</em>-coalescence of two graphs is obtained by merging a <em>k</em>-clique of each graph. The <em>A<sub>α</sub></em>-matrix of a graph is the convex combination of its degree matrix and adjacency matrix. In this paper, we present some structural properties of a non-regular graph which is obtained from the <em>k</em>-coalescence of two graphs. Also, we derive the <em>A<sub>α-</sub></em>characteristic poly- nomial of <em>k</em>-coalescence of two graphs and then compute the <em>A<sub>α</sub></em>-spectra of k-coalescence of two complete graphs. In addition, we estimate the <em>A<sub>α</sub></em>-energy of <em>k</em>-coalescence of two complete graphs. Furthermore, we obtain some topological indices of vertex coalescence of two graphs, and as an application, we determine the Wiener, hyper-Wiener and Zagreb indices of Lollipop and Dumbbell graphs.</p> </div> </div> </div> <p> </p>2024-02-12T00:00:00+00:00Copyright (c) 2024 Najiya V K, Chithra A Vhttps://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/2500Littlewood-Paley characterization of discrete Morrey spaces and its application to the discrete martingale transform2024-02-13T10:57:35+00:00Yoshihiro Sawanoyoshihiro-sawano@celery.ocn.ne.jp<div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p>The goal of this paper is to develop the Littlewood–Paley theory of discrete Morrey spaces. As an application, we establish the boundedness of martingale transforms. We carefully justify the definition of martingale transforms, since discrete Morrey spaces do not contain discrete Lebesgue spaces as dense subspaces. We also obtain the boundedness of Riesz potentials.</p> </div> </div> </div>2024-02-12T00:00:00+00:00Copyright (c) 2024 Y. Abe - Y. Sawanohttps://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/2513Structure of unital Q-Fréchet algebras A satisfying: Ax^2 = Ax, for every x ∈ A2024-02-13T10:59:36+00:00Driss El Boukasmiddriss6@gmail.com<p>We show that a unital <em>Q</em>-Fréchet algebra A satisfying <em>Ax<sup>2</sup></em> = <em>Ax</em>, for every <em>x ∈ A,</em> is isomorphic to <em>C<sup>n</sup><sup>,</sup> n ∈ N<sup>*</sup><sup>.</sup></em></p>2024-02-12T00:00:00+00:00Copyright (c) 2024 D. El Boukasmihttps://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/2522Approximate controllability of impulsive integrodifferential equations with state-dependent delay2024-02-13T10:57:57+00:00Mbarack Fallfall.mbarack@ugb.edu.snBertin Dehigbebertindehigbe@gmail.comKhalil Ezzinbiezzinbi@gmail.comMamadou Abdoul Diopordydiop@gmail.com<div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p>This paper considers the approximate controllability of mild solutions for impulsive semilinear integrodifferential equations with statedependent delay in Hilbert spaces. We obtain our significant findings using Grimmer’s resolvent operator theory and Schauder’s fixed point theorem. We give an example at the end to ensure the compatibility of the results.</p> </div> </div> </div>2024-02-12T00:00:00+00:00Copyright (c) 2024 Mbarack Fall, Bertin DEHIGBE, Khalil Ezzinbi, Mamadou Abdoul DIOPhttps://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/2527Algebraic surfaces with nonhyperelliptic linear pencil of genus 4 and irregularity one2024-02-13T10:58:12+00:00Tomokuni Takahashitomokuni@ichinoseki.ac.jp<p>We construct algebraic surfaces with nonhyperelliptic linear pencil of genus 4 and of rank 3 whose slope is equal to 4 and with irregularity one. Furthermore, we consider the converse. Namely, we obtain the structure of the surfaces with the above properties.</p> <p> </p>2024-02-12T00:00:00+00:00Copyright (c) 2024 T. Takahashihttps://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/2554Some applications of two minimax theorems2024-02-13T10:58:34+00:00Mohamed Ait Mansourait.mansour.mohamed@gmail.comJaafar Lahrachejaafarlahrache@yahoo.frNourddine Zianezianenour@gmail.com<p><img src="/public/site/images/faro/Screenshot_2024-02-12_alle_10.24_.30_.png"></p>2024-02-12T00:00:00+00:00Copyright (c) 2024 M. Ait Mansour, J. Lahrache, N. Ziane