Asymptotic properties of solutions of a 2nth-order differential equation on a time scale

被引：7
|
作者：
Anderson, D [1 ]
Peterson, A
机构：
[1] Concordia Coll, Dept Math & Comp Sci, Moorhead, MN 56562 USA
[2] Univ Nebraska, Dept Math & Stat, Lincoln, NE 68588 USA
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2000年 / 32卷 / 5-6期
关键词：
measure chains; asymptotic behavior; type I and type II solutions;
D O I：
10.1016/S0895-7177(00)00162-X
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we are concerned with a 2n(th)-order linear self-adjoint differential equation on a time scale. The results generalize known results for the corresponding ordinary differential equations and for difference equations. We define Type I and Type II solutions, prove the existence of these solutions, and verify asymptotic properties of these solutions. A quadratic functional corresponding to the differential equation on a time scale is defined and is used to prove several of the results in this paper. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：653 / 660
页数：8
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