Yuzhou Tian

activity

20182024

collaborators

4 papers

math.DS2024

Sufficient conditions for the n-dimensional real Jacobian conjecture

Changjian Liu, Yuzhou Tian

The real Jacobian conjecture was posed by Randall in 1983. This conjecture asserts that if $F = (f_{1}, \dots, f_{n}) : R^{n} \to R^{n}$ is a polynomial map…

math.CA2023

New sufficient condition for the two-dimensional real Jacobian conjecture through the Newton diagram

Yuzhou Tian, Xiuli Cen

The present paper is devoted to investigating the two-dimensional real Jacobian conjecture. This conjecture claims that if $F = (f, g) : R^{2} \to R^{2}$ …

math.DS2020

The necessary and sufficient conditions for the real Jacobian conjecture

Yuzhou Tian, Yulin Zhao

The real Jacobian conjecture claims that if $F = (f^{1}, \dots, f^{n}) : R^{n} \to R^{n}$ is a polynomial map such that $det D F$ is nowhere zero, then $F$ i…

math.DS2018

Planar Semi-quasi Homogeneous Polynomial differential systems with a given degree

Yuzhou Tian, Haihua Liang

This paper study the planar semi-quasi homogeneous polynomial differential systems (short for PSQHPDS), which can be regard as a generalization of semi-homogeneous and of quasi-hom…