BOUNDEDNESS FOR SEMILINEAR DUFFING EQUATIONS AT RESONANCE

作者：Xing Xiumei; Wang Yiqian^*

来源：Taiwanese Journal of Mathematics, 2012, 16(5): 1923-1949.

• Hamiltonian system
• Boundedness of solutions
• Canonical transformation
• Moser's small twist theorem

In this paper, we prove the boundedness of all solutions for the equation x '' + n(2)x + phi(x) + g ''(x)q(t) = 0, where n is an element of N, q(t) = q(t + 2 pi), phi(x) and g(x) are bounded.

• 出版日期2012-10
• 单位南京大学