Nonoscillation for a Second Order
Linear Delay Differential Equation with Impulses |
| |
Authors: | Yan-ling?Tian Pei-xuan?Weng Jin-ji?Yang |
| |
Institution: | (1) Department of Mathematics, South China Normal University, Guangzhou 510631, China;(2) Department of Computer Sciences, South China Normal University, Guangzhou 510631, China |
| |
Abstract: | Abstract
A group of necessary and sufficient conditions for the
nonoscillation of a second order linear delay equation with
impulses
are obtained in this paper, where
is a Dirac δ−function,
and for each n ∈ N,
α
n
> 0, t
n
→ ∞ as
n → ∞. Furthermore, the
boundedness of the solutions is also investigated if the
equation is nonoscillatory. An example is given to illustrate
the use of the main theorems.
1 Supported by the Natural Science Foundation of
Guangdong Province (011471), and Guangdong Education
Bureau(0120) |
| |
Keywords: | nonoscillation impulse linear delay differential equation boundedness |
本文献已被 CNKI SpringerLink 等数据库收录! |
|