13 citations · 32 across the 17 of their papers we have counts for
17 papers
Propagation dynamics of an acid-mediated invasion model with degenerate tumor diffusion
Xinyue Cao, Quentin Griette, Xiong Li +1
We investigate traveling wave fronts for an acid-mediated tumor invasion model with density-dependent degenerate diffusion. The model is a partially diffusive PDE--ODE system of Ga…
The existence of invariant curves of a kind of almost periodic twist mappings
Yingdu Dong, Xiong Li
In this paper, we are concerned with the existence of invariant curves of the planar twist mappings where the perturbations are almost periodic. As an application, the existence of…
Boundedness of solutions in impulsive Duffing equations with polynomial potentials and time dependent coefficients
Yanmin Niu, Xiong Li
In this paper, we are concerned with the impulsive Duffing equation with impulsive effects $x(t_{j}+)=x(t_{j}-),\ x…
Persistence of invariant tori in integrable Hamiltonian systems under almost periodic perturbations
Peng Huang, Xiong Li
In this paper we are concerned with the existence of invariant tori in nearly integrable Hamiltonian systems \begin{equation*} H=h(y)+f(x,y,t), \end{equation*} where $y\in D\subset…
The stability of equilibrium solutions of periodic Hamiltonian systems in the case of degeneracy
Nina Xue, Xiong Li
In this paper we are concerned with the stability of equilibrium solutions of periodic Hamiltonian systems with one degree of freedom in the case of degeneracy, which means that th…
Almost periodic solutions for an asymmetric oscillation
Peng Huang, Xiong Li, Bin Liu
In this paper we study the dynamical behaviour of the differential equation \begin{equation*} x''+ax^+ -bx^-=f(t), \end{equation*} where ,\ , …
Periodic solutions of semilinear Duffing equations with impulsive effects
Yanmin Niu, Xiong Li
In this paper we are concerned with the existence of periodic solutions for semilinear Duffing equations with impulsive effects. Firstly for the autonomous one, basing on Poincaré-…
Periodic solutions of sublinear impulsive differential equations
Yanmin Niu, Xiong Li
In this paper, we consider sublinear second order differential equations with impulsive effects. Basing on the Poincaré-Bohl fixed point theorem, we first will prove the existence…
Entire Solutions for the Classical Competitive Lotka-Volterra System with Diffusion in the Weak Competition Case
Yang Wang, Xiong Li
In this paper we are concerned with the entire solutions for the classical competitive Lotka-Volterra system with diffusion in the weak competition. For this purpose we firstly ana…
The coexistence of quasi-periodic and blow-up solutions in a superlinear Duffing equation
Yanmei Sun, Xiong Li
In this paper we will construct a continuous positive periodic function such that the corresponding superlinear Duffing equation $$ x"+a(x)\,x^{2n+1}+p(t)\,x^{2m+1}=0,\ \ \…
Invariant curves of smooth quasi-periodic mappings
Peng Huang, Xiong Li, Bin Liu
In this paper we are concerned with the existence of invariant curves of planar mappings which are quasi-periodic in the spatial variable, satisfy the intersection property, $\math…
Boundedness in forced isochronous oscillators
Shasha Jin, Xiong Li
In this paper we are concerned with the boundedness of all solutions for the forced isochronous oscillator where is a so-called -isochronous potenti…
The large twist theorem and boundedness of solutions for polynomial potentials with time dependent coefficients
Xiong Li, Bin Liu, Yanmei Sun
In this paper we first prove the so-called large twist theorem, then using it to prove the boundedness of all solutions and the existence of quasi-periodic solutions for Duffing's…
Invariant curves of almost periodic twist mappings
Peng Huang, Xiong Li, Bin Liu
In this paper we are concerned with the existence of invariant curves of planar twist mappings which are almost periodic in a spatial variable. As an application of this result to…
Second Moment Boundedness of Linear Stochastic Delay Differential Equations
Zhen Wang, Xiong Li, Jinzhi Lei
This paper studies the second moment boundedness of solutions of linear stochastic delay differential equations. First, we give a framework, for general -dimensional li…
Moment Boundedness of Linear Stochastic Delay Differential Equation with Distributed Delay
Zhen Wang, Xiong Li, Jinzhi Lei
This paper studies the moment boundedness of solutions of linear stochastic delay differential equations with distributed delay. For a linear stochastic delay differential equation…
A stoichiometrically derived algal growth model and its global analysis
Xiong Li, Hao Wang
Organisms are composed of multiple chemical elements such as carbon, nitrogen, and phosphorus. The scarcity of any of these elements can severely restrict organismal and population…