Abstract and Applied Analysis

Positive Periodic Solutions of Second-Order Differential Equations with Delays

Yongxiang Li

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Abstract

The existence results of positive ω-periodic solutions are obtained for the second-order differential equation with delays u + a ( t ) = f ( t , u ( t τ 1 ) , ... , u ( t τ n ) ) , where a C ( , ( 0 , ) ) is a ω-periodic function, f : × [ 0 , ) n [ 0 , ) is a continuous function, which is ω-periodic in t , and τ 1 , τ 2 , ... , τ n are positive constants. Our discussion is based on the fixed point index theory in cones.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 829783, 13 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1355495766

Digital Object Identifier
doi:10.1155/2012/829783

Mathematical Reviews number (MathSciNet)
MR2947690

Zentralblatt MATH identifier
1246.34037

Citation

Li, Yongxiang. Positive Periodic Solutions of Second-Order Differential Equations with Delays. Abstr. Appl. Anal. 2012 (2012), Article ID 829783, 13 pages. doi:10.1155/2012/829783. https://projecteuclid.org/euclid.aaa/1355495766


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