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On the Existence of Positive Periodic Solutions for Second-Order Functional Differential Equations with Multiple Delays
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-19
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The existence results of positive ω-periodic solutions are obtained for the second-order functional differential equation with multiple delays u″(t)+a(t)u(t)=f(t,u(t),u(t−τ1(t)),…,u(t−τn(t))), where a(t)∈C(ℝ) is a positive ω-periodic function, f:ℝ×[0,+∞)n+1→[0,+∞) is a continuous function which is ω-periodic in t, and τ1(t),…,τn(t)∈C(ℝ,[0,+∞)) are ω-periodic functions.
The existence conditions concern the first eigenvalue of the associated linear periodic boundary problem.
Our discussion is based on the fixed-point index theory in cones.
American Psychological Association (APA)
Li, Qiang& Li, Yongxiang. 2012. On the Existence of Positive Periodic Solutions for Second-Order Functional Differential Equations with Multiple Delays. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-509025
Modern Language Association (MLA)
Li, Qiang& Li, Yongxiang. On the Existence of Positive Periodic Solutions for Second-Order Functional Differential Equations with Multiple Delays. Abstract and Applied Analysis No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-509025
American Medical Association (AMA)
Li, Qiang& Li, Yongxiang. On the Existence of Positive Periodic Solutions for Second-Order Functional Differential Equations with Multiple Delays. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-509025
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509025