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First eigenvalue of birth-death processes with killing |
Jian WANG( ) |
| School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China |
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Abstract 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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| Keywords
First eigenvalue
birth-death processes (with killing)
Schr?dinger operator with difference form
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Corresponding Author(s):
WANG Jian,Email:jianwang@fjnu.edu.cn
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Issue Date: 01 June 2012
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