4 papers
Convergence of generalized Collatz problem in k-adic field
Yushu Zhu, Sensen Chen, Qing-You Sun
In this article, we define a new k-adic series transformation called Z-transformation and probe into its fixed point and periodicity. We extend the number field of the transform pe…
The Periodicity to a Kind of Generalized Collatz Problem
Sensen Chen, Qing-You Sun, Yushu Zhu
The Collatz problem is related to the fixed point problem, and is widely used in mathematics. It has attracted a wide range of math enthusiasts, but is still difficult to solve. So…
Exact controllability of wave equations on a circle
De-Xing Kong, Qing-You Sun
In this paper, we investigate the two-point boundary value problems for linear wave equation defined on a circle and prove that the equation possesses the exact controllability. We…
Two-point boundary value problems and exact controllability for several kinds of linear and nonlinear wave equations
De-Xing Kong, Qing-You Sun
In this paper we introduce some new concepts for second-order hyperbolic equations: two-point boundary value problem, global exact controllability and exact controllability. For se…