BOUNDEDNESS OF SOLUTIONS FOR A CLASS OF IMPACT OSCILLATORS WITH TIME-DENPENDENT POLYNOMIAL POTENTIALS

作者：Piao, Daxiong; Sun, Xiang^*

来源：Communications on Pure and Applied Analysis, 2014, 13(2): 645-655.

DOI：10.3934/cpaa.2014.13.645

• Impactor oscillators
• Boundedness of solutions
• Canonical transformation
• Time-dependent polynomial potentials
• Moser's small twist theorem

In this paper, we consider the boundedness of solutions for a class of impact oscillators with time dependent polynomial potentials,
{<(x)double over dot> + X2n+1 + Sigma(2n)(i=0) pi(t)x(i) = 0, for x(t) > 0, x(t) >= 0, <(x)over dot> (t(0)(+)) - -<(x)over dot> (t(0)(-)) if x (t0) - 0
where n is an element of N+, pi(t +1) = p(i)(t) and p(i)(t) is an element of C-5(R/Z).

• 出版日期2014-3
• 单位中国海洋大学