Special Issue "The Qualitative Theory of Functional Differential Equations and their Applications"

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

Deadline for manuscript submissions: 31 December 2021.

Special Issue Editors

Dr. Osama Moaaz
E-Mail Website
Guest Editor
Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
Interests: differental equations; numerical analysis; analysis; applied mathematics; nonlinear dynamics; mathematical modelling; mathematical analysis; stability
Special Issues and Collections in MDPI journals
Prof. Dr. Higinio Ramos
E-Mail Website
Guest Editor
Scientific Computing Group, Universidad de Salamanca, Plaza de la Merced Salamanca 37008, Spain
Interests: numerical solution of differential equations; numerical analysis
Special Issues and Collections in MDPI journals

Special Issue Information

Dear Colleagues,

Functional differential equations arise in many applied sciences fields. Very recently, there was an active research movement that mainly and significantly developed methods and techniques for studying the qualitative theory differential equations.

Delay differential equations (DDE) as a subclass of functional differential equations take into account the dependence on the history of the system, which results in predicting the future in a more reliable and efficient way. Neutral delay differential equations arise in various phenomena, including problems concerning electric networks containing lossless transmission lines (as in high-speed computers where such lines are used to interconnect switching circuits), in the study of vibrating masses attached to an elastic bar or in the solution of variational problems with time delays, or in the theory of automatic control and in neuromechanical systems in which inertia plays a major role.

In recent decades, various models of difference and differential equations have been proposed in different sciences, strongly motivating research in the qualitative theory of difference and differential equations. Symmetry ideas are often missing in these studies, but they help us find the most suitable approach to studying difference and differential equations and suggest the correct directions for future developments.

This issue will select and publish works that contribute to the development of the study of the qualitative behavior of functional differential equations. This Special Issue will bring together state-of-the-art theoretical research and its applications in mathematical models. Please note that all submitted papers must be within the general scope of the Symmetry journal.

Dr. Osama Moaaz
Prof. Dr. Higinio Ramos
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

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 1800 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

  • Functional differential equations 
  • Delay/neutral/advanced differential equations 
  • Ordinary differential equation 
  • Difference equation
  • Partial differential equation 
  • Symmetry in differential equations 
  • Numerical analysis, numerical modeling 
  • Approximation, stability, oscillation, boundedness, periodicity, and asymptotic properties

Published Papers (1 paper)

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Research

Article
New Results on Qualitative Behavior of Second Order Nonlinear Neutral Impulsive Differential Systems with Canonical and Non-Canonical Conditions
Symmetry 2021, 13(6), 934; https://doi.org/10.3390/sym13060934 - 25 May 2021
Viewed by 255
Abstract
The oscillation of impulsive differential equations plays an important role in many applications in physics, biology and engineering. The symmetry helps to deciding the right way to study oscillatory behavior of solutions of impulsive differential equations. In this work, several sufficient conditions are [...] Read more.
The oscillation of impulsive differential equations plays an important role in many applications in physics, biology and engineering. The symmetry helps to deciding the right way to study oscillatory behavior of solutions of impulsive differential equations. In this work, several sufficient conditions are established for oscillatory or asymptotic behavior of second-order neutral impulsive differential systems for various ranges of the bounded neutral coefficient under the canonical and non-canonical conditions. Here, one can see that if the differential equations is oscillatory (or converges to zero asymptotically), then the discrete equation of similar type do not disturb the oscillatory or asymptotic behavior of the impulsive system, when impulse satisfies the discrete equation. Further, some illustrative examples showing applicability of the new results are included. Full article
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