Special Issue: Recent Advances in Initial and Boundary Value Problems of Differential Systems and Their Applications

Guest Editors

Dr. Yansheng Liu, Ph.D.
School of Mathematics and Statistics, Shandong Normal University, Ji'nan 250014, Shandong, PR China  
Email: ysliu@sdnu.edu.cn


Dr. Baoqiang Yan, Ph.D.
School of Mathematics and Statistics, Shandong Normal University, Ji'nan 250014, Shandong, PR China  
Email: 106117@sdnu.edu.cn


Dr. Meiqiang Feng, Ph.D.
School of Applied Science, Beijing Information Science & Technology University, Beijing, 100192, PR China
Email: 20020892@bistu.edu.cn

Manuscript Topics

As we know, mathematical problems encountered in real life are usually modeled with differential equations. Specifically, modeling a system in physics or other sciences frequently amounts to solving an initial value problem or boundary value problem of differential systems. In the recent decades, the topic about the existence of solutions of nonlinear initial or boundary value problems has received considerable popularity due to its wide applications in biology, hydrodynamics, physics, chemistry, control theory, and so forth. The related various types of equations or systems include differential equation, integro-differential equation, evolution equations, fractional systems, impulsive systems, and delay systems.


This Special Issue aims to provide a platform for researchers to disseminate original research in the fields of initial and boundary value problems of differential systems and their applications in science and engineering.


This is a good opportunity for researchers to report their recent progresses with the scientific community, in general and particularly working in the fields related to the title of the special issue. It is known that you are the expert in this field, you are invited to contribute an original work that addresses any aspect of theory and applications of initial and boundary value problem of differential systems.


Potential topics include but are not limited to the following:
• Initial or boundary value problems of differential systems via fixed point results;
• Nonlinear impulsive problem of differential systems;
• Fractional Kirchhoff equations and their applications;
• Parabolic inequalities with nonlocal terms;
• Almost periodical fractional stochastic differential equations;
• Elliptic equations with nonlinear gradient terms;
• Nonlinear telegraph equations and systems;
• Mean curvature equations and systems in Euclidean and Minkowski spaces.


Instructions for authors
https://aimspress.com/mmc/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/
Authors must specify the paper selection during their submission for “Special Issue: Recent Advances in Initial and Boundary Value Problems of Differential Systems and Their Applications”.

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 30 December 2022

Published Papers(10)

Research article
Sign-changing and signed solutions for fractional Laplacian equations with critical or supercritical nonlinearity
Kexin Ouyang Xinmin Qu Huiqin Lu
2025, Volume 5, Issue 1: 1-14. doi: 10.3934/mmc.2025001
Abstract HTML PDF Viewed (138)
Research article
Modeling and optimal control of COVID-19 and malaria co-infection based on vaccination
Yaxin Ren Yakui Xue
2024, Volume 4, Issue 3: 316-335. doi: 10.3934/mmc.2024026
Abstract HTML PDF Cited (1) Viewed (843)
Research article
Approximate controllability for a class of fractional semilinear system with instantaneous and non-instantaneous impulses
Yunhao Chu Yansheng Liu
2024, Volume 4, Issue 3: 273-285. doi: 10.3934/mmc.2024022
Abstract HTML PDF Viewed (643)
Research article
Dynamical behavior of solutions of a free boundary problem
Di Zhang Ningkui Sun Xuemei Han
2024, Volume 4, Issue 1: 1-8. doi: 10.3934/mmc.2024001
Abstract HTML PDF Viewed (1088)
Research article
On the discontinuous dynamics of a class of 2-DOF frictional vibration systems with asymmetric elastic constraints
Wen Zhang Jinjun Fan Yuanyuan Peng
2023, Volume 3, Issue 4: 278-305. doi: 10.3934/mmc.2023024
Abstract HTML PDF Viewed (1208)
Research article
Existence of solutions for a class of fractional dynamical systems with two damping terms in Banach space
Shuli Zhang Yansheng Liu
2023, Volume 3, Issue 3: 168-180. doi: 10.3934/mmc.2023015
Abstract HTML PDF Cited (1) Viewed (1337)
Research article
Existence theory of fractional order three-dimensional differential system at resonance
M. Sathish Kumar M. Deepa J Kavitha V. Sadhasivam
2023, Volume 3, Issue 2: 127-138. doi: 10.3934/mmc.2023012
Abstract HTML PDF Cited (4) Viewed (1761)
Research article
Global stability analysis of a COVID-19 epidemic model with incubation delay
Paride O. Lolika Mlyashimbi Helikumi
2023, Volume 3, Issue 1: 23-38. doi: 10.3934/mmc.2023003
Abstract HTML PDF Cited (4) Viewed (1567)
Research article
Exploring complicated behaviors of a delay differential equation
Zongcheng Li
2023, Volume 3, Issue 1: 1-6. doi: 10.3934/mmc.2023001
Abstract HTML PDF Cited (1) Viewed (1514)
Research article
New criteria for oscillation of damped fractional partial differential equations
Zhenguo Luo Liping Luo
2022, Volume 2, Issue 4: 219-227. doi: 10.3934/mmc.2022021
Abstract HTML PDF Cited (2) Viewed (1478)