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

Managing Editor: Jose S. Cánovas

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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. 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; and applications to natural and social sciences.

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NDS aims at disseminating mathematical research in the field of nonautonomous dynamical systems from both purely mathematical and interdisciplinary point of view. NDS is specially directed to researchers interested in time evolution systems in broad sense who will find the journal as a reference to the field aiming to promote and stimulate the research and development in nonautonomous dynamical systems and related topics.

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The journal is driven by experts in the field who will assure a peer review process of highest quality. The submission of a manuscript will be understood to mean that the paper is not being considered for publication elsewhere. Incoming papers are acknowledged immediately. Each submission will be managed and reviewed by experts in the field which guarantees highest research level of papers published in the journal. Finally, the open access publishing model has the potential to increase the readership.

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The articles are subject to the Article Processing Charge (APC) of 500 Euro. Covering this fee is not mandatory, but we want to encourage authors to declare their willingness to cover the APC (or part of it). We are offering FULL WAIVERS or DISCOUNTS for authors with limited access to funds.

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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.

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

Manuscripts should be submitted to the journal via online submission system Editorial Manager available for this journal at http://www.editorialmanager.com/msds/.

Manuscript submitted to this journal should:

contain original work - not published elsewhere in any medium (in the whole or in part) by the authors or anyone else and not under consideration for publication in any other medium;
focus on the aims and scope of the journal;
be clearly and correctly written - should contain all essential features of a scientific publication that is easy to understand for the target audience;
written in English - attention to detail of the language will avoid severe misunderstandings which might lead to rejection of the paper;
be delivered in electronic format.

The journal publishes:

Research Articles
Communications and Rapid Communications
Reviews and Mini-Reviews
Commentaries
Letters to the Editor and Amendments

Formatting Requirements

Each manuscript should include the title of the paper; author name; a short abstract not exceeding 200 words; the AMS subject classification; keywords; and author's mailing and email addresses. The submission of a manuscript will be understood to mean that the paper is not being considered for publication elsewhere. Incoming papers are acknowledged immediately. Authors are encouraged to use De Gruyter Open LaTeX template file that is available on the webpage.

Any articles that have been prepared in LaTeX will be accepted for review, but only in PDF format. Post acceptance, text files of the revised manuscript and tables are required for use in the production.
Authors should clearly indicate location of tables and figures in the text if these elements are given separately or at the end of the manuscript. If this information is not provided to the editorial office, we will assume that they should be left at the end of the text.

It is important that authors include a cover letter with their manuscript. Please explain why you consider your manuscript as suitable for publication in Nonautonomous Dynamical Systems, why will your paper inspire the other members of your field, and how will it drive research forward.

Manuscripts that have been previously rejected, or withdrawn after being returned for modification, may be resubmitted if the major criticisms have been addressed. The cover letter must state that the manuscript is a resubmission, and the former manuscript number should be provided.

To ensure fair and objective decision-making, authors must declare any associations that pose a conflict of interest in connection with evaluated manuscripts (see Editorial Policy for details). Authors may suggest up to two referees not to use and in such cases additional justification should be provided in the cover letter. The Editors reserve the right to select expert reviewers at their discretion. For further instructions, please carefully follow the guidelines described in Instructions for Authors.

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. We may also publish a paper under CC-BY-NC-ND license on author's request. The corresponding author grants the journal license for use of the article, by signing the License To Publish. Scanned copy of license should be sent to the journal, as soon as possible.

Editorial

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

Managing Editor
Jose S. Cánovas, Technical University of Cartagena, Spain

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
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
Bogumiła Zuga 32A Str.
01-811 Warsaw, Poland
T: +48 22 701 50 15

Editorial Contact
Toka Diagana, Editor-in-Chief
Jose Canovas, Managing Editor
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