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Stochastic Differential Equations: Theory, Methods, and Applications

This special issue belongs to the section “Mathematics“.

Special Issue Information

Dear Colleagues,

Stochastic differential equations constitute a powerful mathematical apparatus for dealing with phenomena whose evolution is governed by random forces. Stochastic models involving such equations are used in many areas—for example, in physics, molecular biology, finance, climatology, ocean science, electrical engineering, and mechanics. Trajectories of solutions of stochastic differential equations determine the paths of the processes studied. The practical nature of these equations is not separated from theory; the two go hand in hand. Problems of existence of the solution, its uniqueness, its properties, asymptotic behavior, approximate solution, control of solution, numerical methods, and symmetry methods are just a few of the issues deserving a mention.

Therefore, this Special Issue invites articles on recent advances in both broad aspects of stochastic differential equations, namely, in theory and applications.

Dr. Marek T. Malinowski
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 250 words) can be sent to the Editorial Office for assessment.

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

  • ordinary, partial, functional, backward stochastic differential equations driven by Wiener, Gaussian, Levy, stable processes, martingales, semimartingales, fractional Brownian motion
  • theory of symmetry for stochastic differential equations
  • symmetric stochastic differential equations
  • properties of solution, strong solution, weak solution, mild solution, invariance
  • stochastic integrals
  • random attractors
  • numerical solutions and methods
  • parameter estimation
  • optimal control
  • nonlinear filtering
  • applications in science and engineering

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Symmetry - ISSN 2073-8994