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Entropy
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Nonlinear Dynamics and Analysis II
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Nonlinear Dynamics and Analysis II

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Complexity".

Deadline for manuscript submissions: closed (30 November 2022) | Viewed by 2652

Special Issue Editors

Prof. Dr. Ravi P. Agarwal

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Guest Editor
Department of Mathematics, Texas A and M University-Kingsville, Kingsville, TX 78363, USA
Interests: boundary value problems; nonlinear analysis; differential and difference equations; fixed point theory; general inequalities
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Maria Alessandra Ragusa

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Guest Editor
Dipartimento di Matematica e Informatica, University of Catania, 95124 Catania, CT, Italy
Interests: mathematical analysis; partial differential equations; potential theory; real analysis; mathematical methods in applied sciences
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

In this second volume of “Nonlinear Dynamics and Analysis” we continue to bring together theory, methods, and real-world applications of Nonlinear Dynamics. It will consist of topical research on, but not limited to, the following areas:

  • Ordinary differential equations;
  • Delay differential equations;
  • Fixed point theory;
  • Fractional differential equations
  • Functional equations;
  • Equations on time scales;
  • Partial differential equations;
  • Fractional differential equations;
  • Stochastic differential equations;
  • Integral equations.

Prof. Dr. Ravi P. Agarwal
Prof. Dr. Maria Alessandra Ragusa
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 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. Entropy 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 2600 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.

Published Papers (2 papers)

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Research

9 pages, 306 KiB  
Article
Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms
by Yongxiang Li and Weifeng Ma
Entropy 2022, 24(12), 1829; https://doi.org/10.3390/e24121829 - 15 Dec 2022
Cited by 1 | Viewed by 1098
Abstract
This paper deals with the existence of solutions of the elliptic equation with nonlinear gradient term −Δu=f(x,u,∇u) on Ω restricted by the boundary condition u|∂Ω=0, [...] Read more.
This paper deals with the existence of solutions of the elliptic equation with nonlinear gradient term −Δu=f(x,u,∇u) on Ω restricted by the boundary condition u|∂Ω=0, where Ω is a bounded domain in RN with sufficiently smooth boundary ∂Ω, N≥2, and f:Ω¯×R×RN→R is continuous. The existence results of classical solutions and positive solutions are obtained under some inequality conditions on the nonlinearity f(x,ξ,η) when |(ξ,η)| is small or large enough. Full article
(This article belongs to the Special Issue Nonlinear Dynamics and Analysis II)
13 pages, 303 KiB  
Article
On the Solvability of the Discrete s(x,·)-Laplacian Problems on Simple, Connected, Undirected, Weighted, and Finite Graphs
by Filip Pietrusiak, Renata Wieteska and Przemysław Gordinowicz
Entropy 2022, 24(10), 1353; https://doi.org/10.3390/e24101353 - 24 Sep 2022
Viewed by 978
Abstract
We use the finite dimensional monotonicity methods in order to investigate problems connected with the discrete sx,·-Laplacian on simple, connected, undirected, weighted, and finite graphs with nonlinearities given in a non-potential form. Positive solutions are also considered. Full article
(This article belongs to the Special Issue Nonlinear Dynamics and Analysis II)
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