2 papers
math.DS2026
Lagrange Stability for Reversible Duffing Equations with Quasi-Periodic Coefficients
Huining Xue
We consider \[ \ddot x+f(x,Ït)\dot x+g(x,Ït)=0, \] where \[ f(x,θ)=\sum_{j=0}^{m}a_j(θ)x^{2j+1},\qquad g(x,θ)=x^{2n+1}+\sum_{j=0}^{n-1}b_j(θ)x^{2j+1}. \] The coefficient func…
math.DS2025
Construction of periodic solutions of multi-dimensional nonlinear wave equations with unbounded perturbation
Huining Xue, Zuhong You, Xiaoping Yuan
By applying the Craig-Wayne-Bourgain (CWB) method, we establish the persistence of periodic solutions to multi-dimensional nonlinear wave equations (NLW) with unbounded perturbatio…