Well-Posedness, Dynamics, and Control of Nonlinear Differential System with Initial-Boundary Value
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".
Deadline for manuscript submissions: closed (20 December 2022) | Viewed by 20779
Special Issue Editors
Interests: complex network; neural network; synchronization; pulse system; control
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The non-linear differential system deeply describes the essential characteristics of many dynamic systems in engineering and has always been a hot issue in applied mathematics and engineering research. Ordinary differential systems briefly describe many essential characteristics in engineering, such as mechanics, electromagnetism, control operation, and so on. Its initial boundary value problem has achieved many encouraging results, which has effectively promoted the modernization of engineering technology. Additionally, reaction diffusion equations have a very rich application background in the fields of physics, biology, finance, neural networks, and various control systems. In particular, the diffusion equations with initial boundary value conditions correspond to a specific variety of engineering backgrounds. The existence, uniqueness, regularity, and stability of solutions of these kind of equations are still concerning because of their challenges. The global stability or synchronization analysis of this kind of non-linear system is also an important problem to be further considered because its significance is very important in mathematics and engineering. The main purpose of this Special Issue is to disclose the latest progress, new schools of thought, and new methods in the research of such problems, and encourage original work.
Prof. Dr. Xinsong Yang
Prof. Dr. Ruofeng Rao
Guest Editors
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Keywords
- existence, uniqueness, multiple solutions, periodic solutions, stability, attractiveness, and synchronous control of ordinary differential system models with initial value, such as neural networks, financial systems, ecosystems, and so on
- existence, uniqueness, and regularity of the reaction–diffusion system with various initial boundary values
- existence, regularity, and stability analysis of multiple stationary solutions of the reaction–diffusion system
- stability of periodic solution, positive solution, and ground-state solution for the reaction–diffusion system
- synchronization of various dynamical systems with diffusion
- impulsive control of reaction–diffusion system
- numerical solution and computer programming of boundary value problems for partial differential equations.