2 citations · 4 across the 8 of their papers we have counts for
8 papers
KAM theorem with large perturbation and application to network of Duffing oscillators
Xiaoping Yuan, Lu Chen, Jing Li
We prove that there is an invariant torus with given Diophantine frequency vector for a class of Hamiltonian systems defined by an integrable large Hamiltonian function with a larg…
Reducibility of relativistic Schrödinger equation with unbounded perturbations
Yingte Sun, Jing Li
In this paper, we prove a reducibility result for a relativistic Schrödinger equation on torus with time quasi-periodic unbounded perturbations of order 1/2, and finally conjugate…
KAM theorem for reversible mapping of low smoothness with application
Jing Li, Jiangang Qi, Xiaoping Yuan
Assume the mapping is reversible with respect to $G…
A reducibility result for Schrödinger operator with finite smooth and time quasi-periodic potential
Jing Li
In the present paper, we establish a reduction theorem for linear Schrödinger equation with finite smooth and time-quasi-periodic potential subject to Dirichlet boundary condition…
Reducibility, Lyapunov exponent, pure point spectra property for quasi-periodic wave operator
Jing Li
In the present paper, the reducibility is derived for linear wave equation of finite smooth and time-quasi-periodic potential subject to Dirichlet boundary condition. Moreover, it…
Solutions and improved perturbation analysis for the matrix equation X-A^{*}X^{-p}A=Q (p>0)
Jing Li
In this paper the nonlinear matrix equation X-A^{*}X^{-p}A=Q with p>0 is investigated. We consider two cases of this equation: the case p>1 and the case 0<p<1. In the case p>1, a n…
Solutions and perturbation analysis of the matrix equation X - \sum_{i=1}^m A_i^* X^{-1} A_i = Q
Jing Li
Consider the nonlinear matrix equation X-sum_{i=1}^{m}A_{i}^{*}X^{-1}A_{i}=Q. This paper shows that there exists a unique positive definite solution to the equation without any res…
Perturbation analysis of the matrix equation X - \sum_{i=1}^m A_i^* X^{p_i} A_i = Q
Jing Li
Consider the nonlinear matrix equation X-sum_{i=1}^{m}A_{i}^{*}X^{p_{i}}A_{i}=Q with p_{i}>0. Sufficient and necessary conditions for the existence of positive definite solutions t…