Fixed points and stability in neutral differential equations with variable delays
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- by Chuhua Jin and Jiaowan Luo PDF
- Proc. Amer. Math. Soc. 136 (2008), 909-918 Request permission
Abstract:
In this paper we consider a linear scalar neutral delay differential equation with variable delays and give some new conditions to ensure that the zero solution is asymptotically stable by means of fixed point theory. These conditions do not require the boundedness of delays, nor do they ask for a fixed sign on the coefficient functions. An asymptotic stability theorem with a necessary and sufficient condition is proved. The results of Burton, Raffoul, and Zhang are improved and generalized.References
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Additional Information
- Chuhua Jin
- Affiliation: Faculty of Applied Mathematics, Guangdong University of Technology, Guangzhou, Guangdong 510090, People’s Republic of China
- Email: jinchuhua@tom.com
- Jiaowan Luo
- Affiliation: Corresponding author. School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, People’s Republic of China
- Email: mathluo@yahoo.com
- Received by editor(s): October 10, 2006
- Published electronically: November 30, 2007
- Additional Notes: The second author was supported in part by NNSF of China Grant #10671043.
- Communicated by: Carmen C. Chicone
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 909-918
- MSC (2000): Primary 34K20, 34K40
- DOI: https://doi.org/10.1090/S0002-9939-07-09089-2
- MathSciNet review: 2361863