Advances in the Research on Solutions of Impulsive Differential Equations

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".

Deadline for manuscript submissions: 10 April 2025 | Viewed by 12

Special Issue Editors


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Guest Editor
College of Mathematics, Hunan University, Changsha 410012, China
Interests: impulsive differential equation; stochastic differential equation; optimization problem; fractional differential equation
Special Issues, Collections and Topics in MDPI journals
Department of Mathematics, Wilfrid Laurier University, Waterloo, ON N2L 3C5, Canada
Interests: biomathematics; evolutionary game theory; nonlinear dynamics; differential equations
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

(Random) Impulsive differential equations have received considerable attention because they fully consider the impact of instantaneous sudden phenomena on a system state and accurately reflect the changing laws of things; however, the presence of impulses makes the study of dynamic theory more complex. In the past few decades, the development of nonlinear analysis (fixed-point theory, variational analysis) has provided certain theoretical methods for impulsive differential equations, but there are still many problems that have not been solved. On the other hand, impulses also have great value in application fields, such as control. Impulsive control has the advantages of low cost and precise control, and is widely used. We created this Special Issue to address these issues.

This Special Issue aims to encourage high-quality manuscript submissions, highlighting innovative methods and applications for studying the qualitative theories of impulsive differential equations.

Dr. Xiao-Bao Shu
Dr. Fei Xu
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. Mathematics is an international peer-reviewed open access semimonthly 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.

Keywords

  • impulsive dynamic system
  • (random) impulsive differential equations
  • stability theory
  • existence theory
  • optimal control
  • bifurcation and chaos
  • random dynamic system
  • stochastic dynamic system

Published Papers

This special issue is now open for submission.
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