Special Issue on Mathematics and Statistics

Submission Deadline: Apr. 1, 2020

Please click the link to know more about Manuscript Preparation: http://www.pamjournal.org/submission

Please download to know all details of the Special Issue

Special Issue Flyer (PDF)
  • Lead Guest Editor
    • Maleko Evgeny
      Department of Higher Mathematics, Magnitogorsk State Technical University, Magnitogorsk, Russia
  • Guest Editor
    Guest Editors play a significant role in a special issue. They maintain the quality of published research and enhance the special issue’s impact. If you would like to be a Guest Editor or recommend a colleague as a Guest Editor of this special issue, please Click here to complete the Guest Editor application.
    • Mohit Kumar
      Department of Mathematics, Uttaranchal University Dehradun, Dehradun, Uttarakhand, India
    • Roberto Briones
      School of Mathematical and Computer Sciences, Heriot-Watt University, Putrajaya, Malaysia
    • Renz Chester Gumaru
      Senior High School Department, Arellano University Jose Abad Santos Campus, Taguig City, Cavite, Philippines
    • Norziha Che Him
      Department of Mathematics and Statistics, Faculty of Applied Science and Technology, Tun Hussein Onn University of Malaysia, Pagoh, Johor, Malaysia
    • Dr John T Mendy
      Mathematics Department, University of the Gambia, Banjul, Brikama Campus, Gambia
  • Introduction

    A few words about the article: The Laplace operator, its degree and perturbations of this operators cause great interest among researchers. There are many papers devoted to the recovery of such operators from the available spectral data. These are studies that address the so-called inverse spectral problems. Therefore, the spectrum of the Laplace operator or its degree plays a key role in such problems. And since this spectrum is absolutely discrete, the relative position of the points of this spectrum is very important. The spectrum of a degree of the Laplace operator acting on a rectangle is a set of eigenvalues. And these eigenvalues can either coincide with each other, or be as close to each other as you like. Therefore, in any case, the minimum distance between the nearest eigenvalues of the degree of the Laplace operator acting on a rectangle can only be equal to zero. The article is devoted to this fact. Of course, you can solve this problem using cluster analysis methods. However, from a methodological point of view, it is better to use our approach. It is easier for students and graduate students to understand. In addition, in inverse problems using interpolation according to L. Carleson, the smallest distance between the eigenvalues of the unperturbed operator is very important. Therefore, methods similar to the method of L. Carleson cannot be applied to the reconstruction of the perturbed Laplace operator.

    Aims and Scope:

    1. Eigenvalues
    2. Eigenfunctions
    3. Discrete operator
    4. Self-adjoint operator
    5. Differential equations
    6. Equations of mathematical physics

  • Guidelines for Submission

    Manuscripts can be submitted until the expiry of the deadline. Submissions must be previously unpublished and may not be under consideration elsewhere.

    Papers should be formatted according to the guidelines for authors (see: http://www.pamjournal.org/submission). By submitting your manuscripts to the special issue, you are acknowledging that you accept the rules established for publication of manuscripts, including agreement to pay the Article Processing Charges for the manuscripts. Manuscripts should be submitted electronically through the online manuscript submission system at http://www.sciencepublishinggroup.com/login. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal and will be listed together on the special issue website.