Asymmetric and Symmetric Study on Applied Mathematics in ODE, PDE and FDE Model

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: closed (15 April 2024) | Viewed by 1126

Special Issue Editors


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Guest Editor
Department of Mathematics, School of Electronics & Information Engineering, Taizhou University, Taizhou 318000, China
Interests: ecological differential dynamical system; neural network system; fractional order dynamical system; functional differential equation; parabolic partial differential equation

Special Issue Information

Dear Colleagues,

Symmetry and asymmetry are common in natural science and engineering technology, and even in social science. The theory and application of differential equations are an important part of Applied Mathematics. The main application field of differential equations in physics. Therefore, the symmetric and asymmetric dynamic characteristics that are common in physics are studied through their corresponding differential equation models. However, the purpose of this Special Issue is to provide a platform for scholars to exchange research work on symmetry and asymmetry in other disciplines besides physical chemistry, such as biological ecosystem, neural network system, epidemic dynamic system, economic and financial dynamic system, etc., by applying the theory and methods of differential equations and dynamic systems. The main objectives and scopes of this Special Issue (including but not limited to) are as follows:

  1. Studies on symmetry and asymmetry in the ODE model;
  2. Studies on symmetry and asymmetry in the PDE model;
  3. Studies on symmetry and asymmetry in the FDE model.

Prof. Dr. Kaihong Zhao
Prof. Dr. Quanxin Zhu
Guest Editors

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • biological ecosystem
  • neural network system
  • epidemic dynamic system
  • qualitative and stability
  • symmetry and asymmetry

Published Papers (1 paper)

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Research

11 pages, 279 KiB  
Article
Positive Periodic Solutions for a First-Order Nonlinear Neutral Differential Equation with Impulses on Time Scales
by Shihong Zhu and Bo Du
Symmetry 2023, 15(5), 1072; https://doi.org/10.3390/sym15051072 - 12 May 2023
Viewed by 636
Abstract
In this article, we discuss the existence of a positive periodic solution for a first-order nonlinear neutral differential equation with impulses on time scales. Based on the Leggett–Williams fixed-point theorem and Krasnoselskii’s fixed-point theorem, some sufficient conditions are established for the existence of [...] Read more.
In this article, we discuss the existence of a positive periodic solution for a first-order nonlinear neutral differential equation with impulses on time scales. Based on the Leggett–Williams fixed-point theorem and Krasnoselskii’s fixed-point theorem, some sufficient conditions are established for the existence of positive periodic solution. An example is given to show the feasibility and application of the obtained results. Since periodic solutions are solutions with symmetry characteristics, the existence conditions for periodic solutions also imply symmetry. Full article
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