Symmetry in Ordinary and Partial Differential Equations and Applications II
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (15 April 2024) | Viewed by 1704
Special Issue Editor
Interests: difference equations; flow invariance; nonlinear regularity theory; ordinary differential equations; partial differential equations; reduction methods; symmetry operators; weak symmetries
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Due to the great success of our Special Issue "Symmetry in Ordinary and Partial Differential Equations and Applications" we decided to set up a second volume.
Ordinary and partial differential equations are universally recognized as powerful tools to model and solve practical problems involving nonlinear phenomena. In particular, we mention physical processes as problems in elasticity theory, where we deal with composites made of two different materials with different hardening exponents.
Therefore, the theory of differential equations has been successfully applied to establish the existence and multiplicity of solutions of boundary value problems via direct methods, minimax theorems, variational methods, and topological methods. If possible, one looks to solutions in special forms by using the symmetries of the driving equation. This also leads to the study of the difference counterparts of such equations to provide exact or approximate solutions. We mention the reduction methods for establishing exact solutions as solutions of lower-dimensional equations. The methods of symmetrization are a key tool in obtaining a priori estimates of solutions to various classes of differential equations, provided that both the involved functions and the data of the problem admit some partial or fully symmetries on the framework space. In particular, comparison principles and method of moving planes up to a critical position, deserve further investigation to prove spherical or axial symmetry results for positive solutions.
This Special Issue aims to collect original and significant contributions dealing with both the theory and applications of differential equations. Also, this Special Issue may serve as a platform for the exchange of ideas between scientists of different disciplines interested in ordinary and partial differential equations and their applications.
Welcome to read the publications in "Symmetry in Ordinary and Partial Differential Equations and Applications" at https://www.mdpi.com/journal/symmetry/topical_collections/Symmetry_Ordinary_Partial_Differential_Equations_Applications.
Dr. Calogero Vetro
Guest Editor
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. 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.
Keywords
- difference equations
- flow invariance
- nonlinear regularity theory
- ordinary differential equations
- partial differential equations
- reduction methods
- symmetry operators
- weak symmetries
