Boundedness of solutions for a class of impact oscillators with time-denpendent polynomial potentials

2013/01/28 by Daxiong Piao, Xiang Sun, Piao, Daxiong +1
Engineering · Mathematics · Physics and Astronomy · #34C15 37J25 #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations #math.CA #math.DS #msc:34C15 #msc:37J25

paper · pdf · doi:10.48550/arxiv.1301.6448

arxiv created 2013/01/28 · openalex publication_date 2013/01/28 · arxiv updated 2013/01/29 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider the boundedness of solutions for a class of impact oscillators \arrayll x+x²ⁿ⁺¹+∑_i=0²ⁿp_i(t)xⁱ=0, \rm for x(t)> 0, x(t)≥ 0, x(t₀⁺)=-x(t₀^-), \rm if x(t₀)=0, array. where n∈\NN⁺, p_i(t+1)=p_i(t) and p_i(t)∈ C⁵(\RR/\ZZ).

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