On the spectrum of a second-order periodic differential equation

被引：7
作者：
Coskun, H [1 ]
机构：
[1] Karadeniz Tech Univ, Dept Math, TR-61080 Trabzon, Turkey
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2003年 / 33卷 / 04期
关键词：
D O I：
10.1216/rmjm/1181075461
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we derive asymptotic approximations for the periodic and semi-periodic eigenvalues for a second-order periodic differential equation known as Hill's equation. Our results are sharper than the existing results in the literature in that they give sharper error bounds whilst relaxing the smoothness assumptions. For some particular potentials, including that of Mathieu equation, we provide estimates for the corresponding eigenvalues using the symbolic manipulator package, Maple.
引用
收藏
页码：1261 / 1277
页数：17
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