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Training of The Basics of Engineers
Functional Equations Laboratory
Shingo Takeuchi
Professor, Department of Mathematical Sciences
College of Systems Engineering and Science
Systems Engineering and Science in Master's Program
Functional Control Systems in Doctoral Program
Location: Omiya Campus
Laboratory Overview
Solve the equation without "solving" it
Differential equations are equations related to unknown functions and their derivatives, and can describe all phenomena of natural science and social science. Sometimes solutions of differential equations do not exist and sometimes they can not be expressed by well-known functions, although they exist. In other words, differential equations have the potential to produce new functions. Well, how do you study the existence and nature of this new function without solving the equation? In this laboratory, we are addressing such problems with mathematical theory.
Laboratory Character Solutions of differential equations can both "explode" and "extinct", so you can enjoy thought experiments (without danger). Even "invisible" and "untouchable" can be handled freely on the equation. However, it is difficult to analyze Prof. Takeuchi's nonlinearity haha.
Research Outputs You can review research papers in the website below.
Laboratory Research Field
Nonlinear Partial/Ordinary Differential Equations Dynamical Systems Special Functions p-Laplacian  
Recent Research Topics
Generalized Elliptic Integrals Dynamical Systems for Nonlinear Degenerate/Singular Diffusion Equations      
Affiliated Conferences
The Mathematical Society of Japan American Mathematical Society The Japan Society for Industrial and Applied Mathematics Mathematics Education Society of Japan  
For Social Contributions to the World Sustainability Mathematics is the extraction of common ideas that appear in science in our lives and background. If "putting a job in hand" is engineering, "coloring the brain" is the science, and among them graduates of the department of mathematical sciences are expected to play a wide range of activities.
Related Industries
Applicable Industrial Fields
Mathematics Education        
Instruments and Devices in this Laboratory
Research Seeds