journal: Nonautonomous Dynamical Systems

Open Access Published since July 8, 2013

Nonautonomous Dynamical Systems

(formerly Nonautonomous and Stochastic Dynamical Systems)

ISSN: 2353-0626

Editor-in-chief: Toka Diagana

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About this journal

Nonautonomous Dynamical Systems covers all areas and subareas of nonautonomous dynamical systems. In particular, it encourages interdisciplinary papers that cut across sub-disciplines of nonautonomous dynamical systems to neighboring fields.

Aims and Scope

Those areas include, but are not limited to:

differential equations

partial differential equations

chaos theory; bifurcation theory

complex dynamics

stability theory

qualitative theory of differential equations

integro-differential equations; difference equations

fractional differential equations

functional differential equations

stability theory

ergodic theory

numerical analysis

mathematical control theory

applications to natural and social sciences.

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As an Author of Nonautonomous Dynamical Systems, You benefit from

fair and constructive peer review

quick online publication of accepted papers (continuous publication model)

language polishing services upon acceptance for authors from non-English speaking regions

no limitations on colour figures and word count in published articles

all articles are freely available to the academic community worldwide without any restrictions

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distribution to open access directories (such as DOAJ) and thousands of libraries worldwide

liberal policies on copyrights (authors retain copyright) and on self-archiving (no embargo periods)

secure archiving by De Gruyter and the independent archiving service Portico

Article Processing Charges

In order to sustain the publishing process, each article accepted for publication in Nonautonomous Dynamical Systems is subject to an Article Processing Charge of €500. This fee is used to cover the costs of the peer-review process, professional typesetting and copyediting, as well as online hosting, long-term preservation, and extensive promotion to potential readers. There is no submission fee. Information regarding payment of the charge will be provided following acceptance for publication. For more information please go to Article Processing Charges

Publication Ethics and Editorial Policies

Detailed information on Editorial Policy, Publication Ethics, Instructions for Authors etc. can be found in the Supplementary Materials section.

For more information on De Gruyter Publishing Ethics, please see the De Gruyter Guidelines online here.

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Supplementary Materials

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Volume 10 Issue 1

January 2023

Research Articles

Open Access March 29, 2023

One-dimensional inverse problems of determining the kernel of the integro-differential heat equation in a bounded domain

Durdimurod Kalandarovich Durdiev, Jonibek Jamolovich Jumaev

Article number: 20220163

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Abstract

The integro-differential equation of heat conduction with the time-convolution integral on the right side is considered. The direct problem is the initial-boundary problem for this integro-differential equation. Two inverse problems are studied for this direct problem consisting in determining a kernel of the integral member on two given additional conditions with respect to the solution of the direct problems, respectively. The problems are replaced with the equivalent system of the integral equations with respect to unknown functions and on the basis of contractive mapping the unique solvability inverse problem.

Open Access June 14, 2023

Existence results for some generalized Sigmoid Beverton-Holt models in time scales

Mariem Mohamed Abdelahi, Mohamed Ahmed Sambe, Elkhomeini Moulay Ely

Article number: 20220166

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Abstract

In this article, we investigate some generalized Sigmoid Beverton-Holt models in time scales, and we obtain the existence and uniqueness of a globally attractive almost periodic solution to the associated dynamic equations with or without survival rates under some suitable assumptions. An example is given to illustrate our abstract results.

Open Access June 22, 2023

The stability of nonlinear delay integro-differential equations in the sense of Hyers-Ulam

John R. Graef, Cemil Tunç, Merve Şengun, Osman Tunç

Article number: 20220169

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Abstract

In this study, an initial-value problem for a nonlinear Volterra functional integro-differential equation on a finite interval was considered. The nonlinear term in the equation contains multiple time delays. In addition to giving some new theorems on the existence and uniqueness of solutions to the equation, the authors also prove the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of the equation. The proofs use several different tools including Banach’s fixed point theorem, the construction of a Picard operator, and an application of Pachpatte’s inequality. An example is provided to illustrate the existence, uniqueness, and stability properties of solutions.

Open Access August 27, 2023

Mild solution in the α-norm for some partial integrodifferential equations involving a nonlocal condition

Jaouad El Matloub, Khalil Ezzinbi

Article number: 20230170

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Abstract

In this work, we investigate the existence of mild solutions in the α \alpha -norm for a class of nonlocal integrodifferential equations. We employ the theory of resolvent operators introduced by R. Grimmer. The Leray-Schauder alternative is the principal working tool for our analysis.

Open Access September 15, 2023

Generalized BDSDEs driven by fractional Brownian motion

Sadibou Aidara, Assane Ndiaye, Ahmadou Bamba Sow

Article number: 20220167

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Abstract

This article deals with a class of generalized backward doubly stochastic differential equations driven by fractional Brownian motion with the Hurst parameter H H greater than 1/2. The existence and uniqueness of solutions to our equation as well as comparison theorems are obtained.

Open Access November 2, 2023

Asymptotically almost periodic mild solutions for some partial integrodifferential inclusions using scale of Banach spaces

Jaouad El Matloub, Khalil Ezzinbi

Article number: 20230102

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Abstract

We are interested in the existence of mild solutions for a class of partial integrodifferential inclusions in infinite dimensional Banach spaces. First, we show the existence of mild solutions with the help of a scale of Banach spaces, the theory of resolvent operators, and the fixed point theory for the measure of non-compactness. Moreover, we examine the existence of asymptotically almost periodic solutions for our problem. Finally, an example of the abstract results is provided.

Open Access November 11, 2023

Mathematical analysis of an epidemic model with direct and indirect transmission modes and two delays

Fatiha Najm, Radouane Yafia, My Ahmed Aziz Alaoui, Abdessamad Tridane, Lahcen Boukrim

Article number: 20230103

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Abstract

In this article, we consider an epidemiological model in which we take into account the effects of direct and indirect transmissions. The first mode occurs through direct contact between infectious and susceptible individuals, and the second one will take place through the shedding of virus particles by infectious individuals and their acquisition by susceptible ones. We also study the effect of latency period and time needed for a susceptible person to become infected by indirect transmission mode. By considering the direct and indirect basic reproduction numbers, we define the basic reproduction number R 0 {R}_{0} of the model, which helps us to analyze the stability of equilibria and bifurcation and determine the most sensitive parameters. In conclusion, some numerical simulations are given to confirm the analytical analysis.

Open Access December 22, 2023

Periodic solutions of some polynomial differential systems in dimension 5 via averaging theory

Achref Eddine Tabet, Amar Makhlouf

Article number: 20230104

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Abstract

In this article, we provide sufficient conditions for the existence of periodic solutions for the polynomial differential system of the form x ˙ = − y + ε P 1 ( x , y , z , u , v ) + h 1 ( t ) , y ˙ = x + ε P 2 ( x , y , z , u , v ) + h 2 ( t ) , z ˙ = − u + ε P 3 ( x , y , z , u , v ) + h 3 ( t ) , u ˙ = z + ε P 4 ( x , y , z , u , v ) + h 4 ( t ) , v ˙ = λ v + ε P 5 ( x , y , z , u , v ) + h 5 ( t ) , \begin{array}{r}\dot{x}=-y+\varepsilon {P}_{1}\left(x,y,z,u,v)+{h}_{1}\left(t),\\ \dot{y}=x+\varepsilon {P}_{2}\left(x,y,z,u,v)+{h}_{2}\left(t),\\ \dot{z}=-u+\varepsilon {P}_{3}\left(x,y,z,u,v)+{h}_{3}\left(t),\\ \dot{u}=z+\varepsilon {P}_{4}\left(x,y,z,u,v)+{h}_{4}\left(t),\\ \dot{v}=\lambda v+\varepsilon {P}_{5}\left(x,y,z,u,v)+{h}_{5}\left(t),\end{array} where P 1 , P 2 , P 3 , P 4 {P}_{1},{P}_{2},{P}_{3},{P}_{4} , and P 5 {P}_{5} are polynomials in the variables x , y , z , u , v x,y,z,u,v of degree n n , h i ( t ) {h}_{i}\left(t) are 2 π 2\pi -periodic functions with i = 1 , 5 ¯ i=\overline{1,5} , λ \lambda is a real number, and ε \varepsilon is a small parameter.

Open Access December 26, 2023

p(x)-Kirchhoff-type problem with no-flux boundary conditions and convection

Soukaina Yacini, Mohamed El Ouaarabi, Chakir Allalou, Khalid Hilal

Article number: 20230105

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Abstract

This article establishes the existence of a weak solution for a class of p ( x ) p\left(x) -Kirchhoff-type problem under no-flux boundary conditions with a reaction term depending also on the gradient convection. The proof of the main result is constructed by utilizing the theory of topological degree and the theory of generalized Sobolev spaces.

Review Article

Open Access June 20, 2023

Quasilinear class of noncoercive parabolic problems with Hardy potential and L1-data

Taghi Ahmedatt, Youssef Hajji, Hassane Hjiaj

Article number: 20220168

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Abstract

In this article, we study the following noncoercive quasilinear parabolic problem ∂ u ∂ t − div a ( x , t , u , ∇ u ) + ν ∣ u ∣ s − 1 u = λ ∣ u ∣ p − 2 u ∣ x ∣ p + f in Q T , u = 0 on Σ T , u ( x , 0 ) = u 0 in Ω , \left\{\begin{array}{ll}\frac{\partial u}{\partial t}-\hspace{0.1em}\text{div}\hspace{0.1em}a\left(x,t,u,\nabla u)+\nu {| u| }^{s-1}u=\lambda \frac{{| u| }^{p-2}u}{{| x| }^{p}}+f& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}{Q}_{T},\\ u=0& \hspace{0.1em}\text{on}\hspace{0.1em}\hspace{0.33em}{\Sigma }_{T},\\ u\left(x,0)={u}_{0}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\end{array}\right. with f ∈ L 1 ( Q T ) f\in {L}^{1}\left({Q}_{T}) and u 0 ∈ L 1 ( Ω ) {u}_{0}\in {L}^{1}\left(\Omega ) and show the existence of entropy solutions for this noncoercive parabolic problem with Hardy potential and L1-data.

CiteScore	1.3	2022, Scopus (Elsevier B.V., 2023)
SCImago Journal Rank	0.381	2022, SJR (Scimago Lab, 2023; Data Source: Scopus)
Source Normalized Impact per Paper	1.000	2022, CWTS Journal Indicators (CWTS B.V., 2023; Data Source: Scopus)
Mathematical Citation Quotient	0.20

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MANUSCRIPTS
Nonautonomous Dynamical Systems encourages the submission of both substantial full-length bodies of work and shorter manuscripts that report novel findings. There are no specific length restrictions for the overall manuscript or individual sections; however, we urge the authors to present and discuss their findings in a concise and accessible manner.

All submissions must be made via online submission system Editorial Manager. In case of problems, please contact the Managing Editor of this journal (Ewa.Sarzynska@degruyter.com).

SUBMISSION OF MANUSCRIPTS
Manuscripts have to be written in LATEX, AMS-TEX, AMS-LATEX. We do not accept papers in Plain TEX format. For an initial submission, the authors are strongly advised to upload their entire manuscript, including tables and figures, as a single PDF file. Authors are strongly advised to submit the final version of the paper using the journal’s LaTex Template.

For detailed information, please see Instruction for Authors

EDITORIAL POLICY

Unpublished material: Submission of a manuscript implies that the work described is not copyrighted, published or submitted elsewhere, except in abstract form. The corresponding author should ensure that all authors approve the manuscript before its submission.

Ethical conduct of research: The authors must describe and confirm safeguards to meet ethical standards when applicable. See Editorial Policy for details.

Conflict of interest: When authors submit a manuscript, they are responsible for recognizing and disclosing financial and/or other conflicts of interest that might bias their work and/or could inappropriately influence his/her judgment. If no specified acknowledgement is given, the Editors assume that no conflict of interest exists. Authors are encouraged to fill in the ICMJE Conflicts of Interest Form (available here) and send it in the electronic format to the Managing Editor.

Copyright: All authors retain copyright, unless – due to their local circumstances – their work is not copyrighted. The copyrights are governed by the Creative-Commons Attribution Only license (CC-BY) which is compliant with Plan-S. The corresponding author grants the journal the license to use of the article, by signing the License To Publish. Scanned copy of license should be sent to the journal, as soon as possible.

Authorship: Authorship should be limited to those who have made a significant contribution to the conception, design, execution, or interpretation of the reported study. All those who have made significant contributions should be listed as co-authors. Where there are others who have participated in certain substantive aspects of the research project, they should be named in an Acknowledgement section. The corresponding author should ensure that all appropriate co-authors (according to the above definition) and no inappropriate co-authors are included in the author list of the manuscript, and that all co-authors have seen and approved the final version of the paper and have agreed to its submission for publication.

Peer Review process: Our standard policy requires each paper reporting primary research or secondary analysis of primary research, together with relevant supplementary materials if requested by Referees, to be reviewed by at least two Referees and the peer-review process is single-blind. The Editors reserve the right to decline the submitted manuscript without review, if the studies reported are not sufficiently novel or important to merit publication in the journal. Manuscripts deemed unsuitable (insufficient originality or of limited interest to the target audience) are returned to the author(s) without review. The Editor seeks advice from experts in the appropriate field. Research articles and communications are refereed by a minimum of two reviewers, review papers by at least three. Authors are requested to suggest persons competent to review their manuscript. However, please note that this will be treated only as a suggestion, and the final selection of reviewers is exclusively the Editor's decision. The final decision of acceptance in made by Managing Editor or, in case of conflict, by the Editor-in-Chief.

Scientific Misconduct: This journal publishes only original manuscripts that are not also published or going to be published elsewhere. Multiple submissions/publications, or redundant publications (re-packaging in different words of data already published by the same authors) will be rejected. If they are detected only after publication, the journal reserves the right to publish a Retraction Note. In each particular case Editors will follow COPE’s Core Practices and implement the advices.

Editorial

Editor-in-Chief
Toka Diagana, The University of Alabama in Huntsville, USA

Assistant Editor
Michał Bełdzinski, Lodz University of Technology, Poland

Editorial Advisory Board
Ravi P. Agarwal, Texas A&M University – Kingsville, USA
José M. Arrieta, Universidad Complutense de Madrid, Spain
Leonid Berezansky, Ben-Gurion University of the Negev, Israel
Martin Bohner, Missouri University of Science and Technology, USA
David Cheban, State University of Moldova, Moldova
Messoud Efendiev, Helmholtz Center Munich, Germany
Khalil Ezzinbi, Cadi Ayyad University, Morocco
Michal Feckan, Comenius University, Slovakia
Aissa Guesmia, Elie Cartan Institute of Lorraine, University of Lorraine, France
Mohamed Jleli, King Saud University, Riyadh, Saudi Arabia
Mokhtar Kirane, Université de la Rochelle, France
Vlajko L. Kocic, Xavier University of Louisiana, USA
Jin Liang, Shanghai Jiao Tong University, China
Salim Messaoudi, King Fahd University of Petroleum and Minerals, Saudi Arabia
Janusz Mierczyński, Wrocław University of Science and Technology, Poland, Poland
Alain Miranville, University of Poitiers, France
Bessem Samet, King Saud University, Riyadh, Saudi Arabia
Simone Secchi, Universita di Milano-Bicocca, Italy
Wenxian Shen, Auburn University, USA
Marco Squassina, Universita degli Studi di Verona, Italy
Nasser-Eddine Tatar, King Fahd University of Petroleum and Minerals, Saudi Arabia
Bourama Toni, Virginia State University, USA
Sergei Trofimchuk, Talka University, Chile
Jose Valero, Miguel Hernández University at Elche, Spain
Ti-Jun Xiao, Fudan University, China
Mark McKibben, West Chester University, Pennsylvania, USA

Publisher
DE GRUYTER Poland
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01-811 Warsaw, Poland
T: +48 22 701 50 15

Editorial Contact
msds.editorial@degruyter.com

(Deutsch)

Type: Journal
Language: English
Publisher: De Gruyter Open Access
First published: July 8, 2013
Publication Frequency: 1 Issue per Year
Audience: researchers in the field of nonautonomous dynamical systems