The Qualitative Theory of Functional Differential Equations and their Applications

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 submissions that pass pre-check are 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 250 words) can be sent to the Editorial Office for assessment.

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.