Special Issue "Recent Developments in Methods, Techniques, and Approaches to Study the Qualitative Properties of Differential Equations"

A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: 31 August 2021.

Special Issue Editors

Dr. Ioannis Dassios
E-Mail Website
Guest Editor
School of Electrical and Electronic Engineering, University College Dublin, D04 Dublin, Ireland
Interests: differential/difference equations; dynamical systems; modelling and stability analysis of electric power systems; mathematics of networks; fractional calculus; mathematical modelling (power systems, materials science, energy, macroeconomics, social media, etc.); optimization for the analysis of large-scale data sets; fluid mechanics; discrete calculus; Bayes control; e-learning
Special Issues and Collections in MDPI journals
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
Dr. Ali Muhib
E-Mail
Guest Editor
Department of Mathematics, Faculty of Education, Ibb University, Ibb 999101, Yemen
Interests: differential and difference equations

Special Issue Information

Dear Colleagues,

Differential equations are a mathematical declaration containing one or more derivatives, terms describing the rate of change of quantities that differ continuously. They are used in a wide variety of disciplines, from biology, economics, physics, chemistry, can describe exponential growth and decay, the population growth of species, or the change in investment return over time. 

In modeling virtually any physical, scientific, or biological equation, differential equations play an important role. To understand these problems and phenomena, or at least to know the features of the solutions to these equations, solutions to differential equations are necessary. However, differential equations such as those discussed that are used to solve problems in real life may not be explicitly solvable, i.e. Do not have solutions in closed form. Solutions offered by explicit formulas are only accepted by equations of simple forms. Different models of differential equations have been developed in various sciences in recent decades, strongly encouraging research into the qualitative theory of differential equations.

Recently, it is easy to notice the huge amount of works concerned with studying the qualitative behavior of differential equations. Our aim in this issue is to select and publish works that contribute significantly to the development of the qualitative theory of ordinary and partial differential equations.

Prof. Dr. Ioannis Dassios
Dr. Osama Moaaz
Dr. Ali Muhib
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. Axioms is an international peer-reviewed open access quarterly 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 1400 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

  • Ordinary differential equations ODEs
  • Partial differential equation PDEs
  • Delay differential equations DDEs
  • Difference equations
  • Approximation, numerical methods, numerical modeling of DEs
  • Asymptotic properties, stability, oscillation, boundedness, periodicity
  • Exact solution of PDEs
  • Physical applications of DEs
  • Engineering applications of DEs

Published Papers (1 paper)

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Research

Article
About Cogredient and Contragredient Linear Differential Equations
Axioms 2021, 10(2), 117; https://doi.org/10.3390/axioms10020117 - 10 Jun 2021
Viewed by 177
Abstract
The notions of cogredience and contragredience, which have great importance to the question of algebraic independence of linear differential equation solutions, are discussed in the paper. Conditions of equivalence of two definitions of cogredience and contragredience are found. Full article
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