A5100405891- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Mathematical and Theoretical Epidemiology and Ecology Models
- Nonlinear Waves and Solitons
- Fractional Differential Equations Solutions
- Holomorphic and Operator Theory
- Advanced Numerical Methods in Computational Mathematics
- Advanced Mathematical Physics Problems
- Electromagnetic Simulation and Numerical Methods
- Differential Equations and Boundary Problems
- Advanced Banach Space Theory
- Approximation Theory and Sequence Spaces
- Real-time simulation and control systems
- Nonlinear Differential Equations Analysis
- Advanced Differential Equations and Dynamical Systems
Changchun University of Science and Technology
2025
Zhengzhou University
2024
Yangtze Normal University
2019-2020
Henan University
2019
Sichuan University of Arts and Science
2014-2016
According to the relationship between truncation error and step size of two implicit second-order-derivative multistep formulas based on Hermite interpolation polynomial, a variable-order variable-step-size numerical method for solving differential equations is designed. The stability properties are discussed regions analyzed. deduced methods applied simulation problem. results show that can satisfy calculation accuracy, reduce number steps accelerate speed.
In this paper, we define β-Hausdorff operator on the unit polydisk and study boundedness of Lipschitz space. Firstly, translate problem coefficient into integral weighted composition operator, then give sufficient conditions boundedness, also obtain an upper bound for norm
New theorems of asymptotical stability and uniformly for nonautonomous difference equations are given in this paper. The classical Liapunov theorem relies on the existence a positive definite function that has an indefinitely small upper bound whose variation along is negative definite. In paper, we consider case only its semi-negative At these weaker conditions, put forward new by adding to extra conditions variation. After that, addition hypotheses our theorem, obtain provided bound....
Abstract In this paper, we develop optimal Phragmén–Lindelöf methods, based on the use of maximum modulus value a parameter in Schrödinger functional, by applying theorem for second-order boundary problems with respect to operator. Using it, it is possible find existence ground state solutions generalized equation control. spite fact that type can exhibit non-uniqueness weak solutions, prove corresponding method, under suitable assumptions control conditions nonlinear term, well-posed and...