Positive Periodic Solution for the Generalized Neutral Differential Equation with Multiple Delays and Impulse
Joint Authors
Luo, Zhenguo
Zeng, Yunhui
Luo, Liping
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-27
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
By using a fixed point theorem of strict-set-contraction, which is different from Gaines and Mawhin's continuation theorem and abstract continuation theory for k-set contraction, we established some new criteria for the existence of positive periodic solution of the following generalized neutral delay functional differential equation with impulse: x'(t)=x(t)[a(t)-f(t,x(t),x(t-τ1(t,x(t))),…,x(t-τn(t,x(t))),x'(t-γ1(t,x(t))),…,x'(t-γm(t,x(t))))], t≠tk, k∈Z+; x(tk+)=x(tk-)+θk(x(tk)), k∈Z+.
As applications of our results, we also give some applications to several Lotka-Volterra models and new results are obtained.
American Psychological Association (APA)
Luo, Zhenguo& Luo, Liping& Zeng, Yunhui. 2014. Positive Periodic Solution for the Generalized Neutral Differential Equation with Multiple Delays and Impulse. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-483429
Modern Language Association (MLA)
Luo, Zhenguo…[et al.]. Positive Periodic Solution for the Generalized Neutral Differential Equation with Multiple Delays and Impulse. Journal of Applied Mathematics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-483429
American Medical Association (AMA)
Luo, Zhenguo& Luo, Liping& Zeng, Yunhui. Positive Periodic Solution for the Generalized Neutral Differential Equation with Multiple Delays and Impulse. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-483429
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483429