Analytical Methods and Qualitative Analysis for Differential Equations
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C1: Difference and Differential Equations".
Deadline for manuscript submissions: 30 September 2025 | Viewed by 1573
Special Issue Editor
Interests: partial differential equations; ordinary differential equations; harmonic analysis; nonlinear dynamical systems; analytical methods and qualitative analysis for differential equations
Special Issue Information
Dear Colleagues,
The new Special Issue aims to bring the newest results of the study on analytical methods and qualitative analysis for ordinary and partial differential equations. Ordinary differential equations (ODEs) and partial differential equations (PDEs) are important tools to describe dynamic systems and physical phenomena. They are widely used in many fields such as engineering, physics, chemistry, biology, control theory, astronomy, quantum mechanics, general relativity, elasticity, electromagnetism, finance, economics, and so on. Analytical methods provide tools for accurately solving ODEs and PDEs, while qualitative analysis methods help us understand the global behavior and properties of solutions, both of which are indispensable in mathematical analysis. We hope that through this Special Issue, we can put together the newest research progress and trends in the study of analytical methods and qualitative analysis for differential equations of one variable and several variables, which thus push forward the development of both branches and, at the same time, inspire parallels between them. Any aspects related to the study on analytical methods and qualitative analysis for ordinary and partial differential equations are valuable to the success of this Special Issue.
Prof. Dr. Fengping Yao
Guest Editor
Manuscript Submission Information
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Keywords
- partial differential equations
- ordinary differential equations
- nonlinear dynamical systems
- harmonic analysis
- soliton theory
- mathematical physics
- fluid mechanics
- integrable system
- exact solutions
- analytical methods and qualitative analysis for differential equations
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