First eigenvalue of birth-death processes with killing

被引：0
|
作者：
Jian Wang
机构：
[1] Fujian Normal University,School of Mathematics and Computer Science
来源：
Frontiers of Mathematics in China | 2012年 / 7卷
关键词：
First eigenvalue; birth-death processes (with killing); Schrödinger operator with difference form; 60J25; 60J27;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we present an explicit and computable lower bound for the first eigenvalue of birth-death processes with killing. This estimate is qualitatively sharp for birth-death processes without killing. We also establish an approximation procedure for the first eigenvalue of the birth-death process with killing by an increasing principal eigenvalue sequence of some birth-death processes without killing. Some applications of our results are illustrated by many examples.
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收藏
页码：561 / 572
页数：11
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