Special Issue "Differential/Difference Equations: Mathematical Modeling, Oscillation and Applications"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".

Deadline for manuscript submissions: 30 June 2021.

Special Issue Editors

Prof. Dr. Ioannis Dassios
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Guest Editor
AMPSAS, University College 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. Omar Bazighifan
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Guest Editor
Department of Mathematics, Faculty of Science, Hadhramout University, Seiyun, Yemen
Interests: qualitative theory of differential equations; oscillation criteria for differential equations
Special Issues and Collections in MDPI journals
Dr. Osama Moaaz
Website
Guest Editor
Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
Special Issues and Collections in MDPI journals

Special Issue Information

Dear Colleagues,

The study of oscillatory phenomena is an important part of the theory of differential equations. Oscillations naturally occur in virtually every area of applied science including, e.g., mechanics, electrical, radio engineering, and vibrotechnics.

This Special Issue will accept high-quality papers with original research results in theoretical research, and recent progress in the study of applied problems in science and technology.

Dr. Ioannis Dassios
Dr. Omar Bazighifan
Dr. Osama Moaaz
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. Mathematics 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 1200 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

  • Oscillation theory
  • Differential/difference equations
  • Partial differential equations
  • Dynamical systems
  • Fractional calculus
  • Delays
  • Mathematical modeling and oscillations

Published Papers (7 papers)

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Research

Open AccessArticle
Improved Oscillation Criteria for 2nd-Order Neutral Differential Equations with Distributed Deviating Arguments
Mathematics 2020, 8(5), 849; https://doi.org/10.3390/math8050849 - 23 May 2020
Abstract
In this study, we establish new sufficient conditions for oscillation of solutions of second-order neutral differential equations with distributed deviating arguments. By employing a refinement of the Riccati transformations and comparison principles, we obtain new oscillation criteria that complement and improve some results [...] Read more.
In this study, we establish new sufficient conditions for oscillation of solutions of second-order neutral differential equations with distributed deviating arguments. By employing a refinement of the Riccati transformations and comparison principles, we obtain new oscillation criteria that complement and improve some results reported in the literature. Examples are provided to illustrate the main results. Full article
Open AccessArticle
A Class of Quantum Briot–Bouquet Differential Equations with Complex Coefficients
Mathematics 2020, 8(5), 794; https://doi.org/10.3390/math8050794 - 14 May 2020
Abstract
Quantum inequalities (QI) are local restraints on the magnitude and range of formulas. Quantum inequalities have been established to have a different range of applications. In this paper, we aim to introduce a study of QI in a complex domain. The idea basically, [...] Read more.
Quantum inequalities (QI) are local restraints on the magnitude and range of formulas. Quantum inequalities have been established to have a different range of applications. In this paper, we aim to introduce a study of QI in a complex domain. The idea basically, comes from employing the notion of subordination. We shall formulate a new q-differential operator (generalized of Dunkl operator of the first type) and employ it to define the classes of QI. Moreover, we employ the q-Dunkl operator to extend the class of Briot–Bouquet differential equations. We investigate the upper solution and exam the oscillation solution under some analytic functions. Full article
Open AccessArticle
New Oscillation Criteria for Advanced Differential Equations of Fourth Order
Mathematics 2020, 8(5), 728; https://doi.org/10.3390/math8050728 - 06 May 2020
Abstract
The main objective of this paper is to establish new oscillation results of solutions to a class of fourth-order advanced differential equations with delayed arguments. The key idea of our approach is to use the Riccati transformation and the theory of comparison with [...] Read more.
The main objective of this paper is to establish new oscillation results of solutions to a class of fourth-order advanced differential equations with delayed arguments. The key idea of our approach is to use the Riccati transformation and the theory of comparison with first and second-order delay equations. Four examples are provided to illustrate the main results. Full article
Open AccessArticle
New Results for Kneser Solutions of Third-Order Nonlinear Neutral Differential Equations
Mathematics 2020, 8(5), 686; https://doi.org/10.3390/math8050686 - 01 May 2020
Abstract
In this paper, we consider a certain class of third-order nonlinear delay differential equations r w α v + q v x β ς v = 0 , for v v 0 , where w v = x v + [...] Read more.
In this paper, we consider a certain class of third-order nonlinear delay differential equations r w α v + q v x β ς v = 0 , for v v 0 , where w v = x v + p v x ϑ v . We obtain new criteria for oscillation of all solutions of this nonlinear equation. Our results complement and improve some previous results in the literature. An example is considered to illustrate our main results. Full article
Open AccessArticle
Improved Approach for Studying Oscillatory Properties of Fourth-Order Advanced Differential Equations with p-Laplacian Like Operator
Mathematics 2020, 8(5), 656; https://doi.org/10.3390/math8050656 - 26 Apr 2020
Cited by 3
Abstract
This paper aims to study the oscillatory properties of fourth-order advanced differential equations with p-Laplacian like operator. By using the technique of Riccati transformation and the theory of comparison with first-order delay equations, we will establish some new oscillation criteria for this [...] Read more.
This paper aims to study the oscillatory properties of fourth-order advanced differential equations with p-Laplacian like operator. By using the technique of Riccati transformation and the theory of comparison with first-order delay equations, we will establish some new oscillation criteria for this equation. Some examples are considered to illustrate the main results. Full article
Open AccessArticle
Oscillation Theorems for Nonlinear Differential Equations of Fourth-Order
Mathematics 2020, 8(4), 520; https://doi.org/10.3390/math8040520 - 03 Apr 2020
Cited by 8
Abstract
We study the oscillatory behavior of a class of fourth-order differential equations and establish sufficient conditions for oscillation of a fourth-order differential equation with middle term. Our theorems extend and complement a number of related results reported in the literature. One example is [...] Read more.
We study the oscillatory behavior of a class of fourth-order differential equations and establish sufficient conditions for oscillation of a fourth-order differential equation with middle term. Our theorems extend and complement a number of related results reported in the literature. One example is provided to illustrate the main results. Full article
Open AccessArticle
New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order
Mathematics 2020, 8(4), 494; https://doi.org/10.3390/math8040494 - 02 Apr 2020
Abstract
Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of the studied equations, and this is an improvement of the relevant results. [...] Read more.
Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of the studied equations, and this is an improvement of the relevant results. The efficiency of the obtained criteria is illustrated via example. Full article
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