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Special Issue "Nonlinear Oscillations and Boundary Value Problems"
A special issue of Symmetry (ISSN 2073-8994).
Deadline for manuscript submissions: closed (30 November 2019).
Interests: Ordinary differential equations; non-linear boundary value problems; numerical-analytic methods
The investigation of oscillatory phenomena is an important part of the theory of differential equations. It is well-known that oscillations occur in a natural way virtually in every area of applied science including, e.g., mechanics, electrical and radio engineering, or vibrotechnics. One can mention, for instance, the beating of the human heart in medicine, business cycles in economics, predator-prey cycles in population dynamics, vibrating strings in musical instruments, periodic firing of nerve cells in the brain. Theoretical aspects of the classical theory of oscillations include the investigation of harmonic, periodic, and almost periodic solutions of various types of ordinary differential equations and systems. Among important related tasks one should outline obtaining sufficient conditions for the existence of such solutions, description of their asymptotic behaviour, study of oscillatory properties and mutual disposition of zeros, detection of solutions possessing particular symmetry properties, development of efficient methods for the construction of solutions. The topics mentioned have also a strong relation to the theory of non-linear boundary value problems.
This issue is devoted to non-linear oscillations in a broad sense and will cover the related topics for non-linear systems of differential equations, equations with retarded argument and more general functional differential equations.
We hope that researchers working in differential equations and related topics will find in this special issue new ideas and techniques that will stimulate further progress in the field.
Prof. Miklós Rontó
Dr. András Rontó
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. 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 1400 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.
- oscillatory phenomena
- oscillatory solutions
- sign-constant solutions
- periodic solutions
- non-linear boundary value problems
- numerical-analytic methods
- functional-differential equations
- successive approximations