3 citations · 3 across the 12 of their papers we have counts for
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Invariant curves of low smooth quasi-periodic reversible mappings
Yan. Zhuang, Daxiong Piao, Yanmin Niu
In this paper, we obtain the invariant curves of quasi-periodic reversible mappings with finite smoothness. Since the reversible property is difficult to maintain in the process of…
Invariant curves of quasi-periodic reversible mappings and its application
Yan Zhuang, Daxiong Piao, Yanmin Niu
We consider the existence of invariant curves of real analytic reversible mappings which are quasi-periodic in the angle variables. By the normal form theorem, we prove that under…
Boundedness of semilinear Duffing equations at resonance with oscillating nonlinearities
Zhiguo Wang, Daxiong Piao, Yiqian Wang
In this paper, we prove the boundedness of all the solutions for the equation with the Lazer-Leach condition on and , where $n\in \mathbb{N^+…
Quasi-periodic solutions for p-Laplacian equations with jumping nonlinearity and unbounded potential terms
Xiao Ma, Daxiong Piao, Yiqian Wang
In this paper, we are concerned with the boundedness of all the solutions for a kind of second order differential equations with p-Laplacian term $(ϕ_p(x'))'+aϕ_p(x^+)-bϕ_p(x^-)+f(…
Boundedness of solutions for a class of impact oscillators with time-denpendent polynomial potentials
Daxiong Piao, Xiang Sun
In this paper, we consider the boundedness of solutions for a class of impact oscillators $$ \{{array}{ll} \displaystyle \ddot{x}+x^{2n+1}+\sum_{i=0}^{2n}p_{i}(t)x^{i}=0,& \quad {\…
Boundedness for Second Order Differential Equations with Jumping p-Laplacian and an Oscillating Term
Xiao Ma, Daxiong Piao, Yiqian Wang
In this paper, we are concerned with the boundedness of all the solutions for a kind of second order differential equations with p-Laplacian and an oscillating term $(ϕ_p(x'))'+aϕ_…