A note on eigenvalue asymptotics for Hill's equation

作者：Cheng, Y H^*; Wang, Tui En; Wu, Chun Jen

来源：Applied Mathematics Letters, 2010, 23(9): 1013-1015.

DOI：10.1016/j.aml.2010.04.028

• Hill's equation
• Eigenvalue asymptotics
• Ambarzumyan Theorem

In this note, we give asymptotic estimates for the periodic and anti-periodic eigenvalues of Hill's equation up to an order of 0(n(-1)). We also apply the estimates to give a short proof of the associated Ambarzumyan Theorem.

• 出版日期2010-9
• 单位中山大学