Existence of Positive Periodic Solutions for n-Dimensional Nonautonomous System
Joint Authors
Liu, Youjun
Yan, Ju-Rang
Zhao, Huanhuan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-17
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In this paper we consider the existence, multiplicity, and nonexistence of positive periodic solutions for n-dimensional nonautonomous functional differential system x'(t)=H(t,x(t))-λB(t)F(x(t-τ(t))), where hi are ω-periodic in t and there exist ω-periodic functions αi,βi∈C(R,R+) such that αi(t)≤(hi(t,x)/xi)≤βi(t),∫0ωαi(t)dt>0, for x∈R+n all with xi>0, and t∈R, limxi→0+(hi(t,x)/xi) exist for t∈R; bi∈C(R,R+) are ω-periodic functions and ∫0ωbi(t)dt>0;fi∈C(R+n,R+), fi(x)>0 for x >0; τ∈(R,R) is an ω-periodic function.
We show that the system has multiple or no positive ω-periodic solutions for sufficiently large or small λ>0, respectively.
American Psychological Association (APA)
Liu, Youjun& Zhao, Huanhuan& Yan, Ju-Rang. 2014. Existence of Positive Periodic Solutions for n-Dimensional Nonautonomous System. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-458915
Modern Language Association (MLA)
Liu, Youjun…[et al.]. Existence of Positive Periodic Solutions for n-Dimensional Nonautonomous System. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-458915
American Medical Association (AMA)
Liu, Youjun& Zhao, Huanhuan& Yan, Ju-Rang. Existence of Positive Periodic Solutions for n-Dimensional Nonautonomous System. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-458915
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458915