Abstract and Applied Analysis

Positive Periodic Solutions of Third-Order Ordinary Differential Equations with Delays

Yongxiang Li and Qiang Li

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Abstract

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

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 547683, 8 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412273177

Digital Object Identifier
doi:10.1155/2014/547683

Mathematical Reviews number (MathSciNet)
MR3173281

Zentralblatt MATH identifier
07022602

Citation

Li, Yongxiang; Li, Qiang. Positive Periodic Solutions of Third-Order Ordinary Differential Equations with Delays. Abstr. Appl. Anal. 2014 (2014), Article ID 547683, 8 pages. doi:10.1155/2014/547683. https://projecteuclid.org/euclid.aaa/1412273177


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